how to find the slope and the y-intercept?
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Summary. The slope-intercept form of a line is: y=mx+b where m is the slope and b is the y-intercept. The y-intercept is always where the line intersects the y-axis, and will always appear as (0,b) in coordinate form.
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To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = –10 is m = 4/5. Therefore, the slope of the line perpendicular to this line would have to be m = –5/4. Step 2: Use the slope to find the y-intercept.
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['y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3.', 'y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.']
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To find the y-intercept, substitute the slope in for m in the formula y = mx + b, and substitute a given ordered pair in the table for x and y in the formula, then solve for b. Finally, substitute the values for m and b into the formula y = mx + b to write the equation of the line.
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Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane. Slope intercept form is y = m x + b y=mx+b y=mx+by, equals, m, x, plus, b, where m is slope and b is the y-intercept.
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To find the slope of a linear equation, start by rearranging the given equation into slope-intercept form, which is y = mx + b.
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To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.
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['y = mx + b.', 'Graph the equation: y = 2x + 4.', 'Slope = 2 or 2/1.', 'Y-intercept = 4 or (0,4)', 'Step 1: Plot the y-intercept on your graph. ... ', 'Step 2: From the y-intercept (0,4) use the slope to plot your next point.', 'The slope is 2, so you will rise 2 (up) and run 1 (to the right).']
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To find the y-intercept(s) (the point where the graph crosses the y-axis), substitute in 0 for x and solve for y or f(x). To find the x-intercept(s) (the point where the graph crosses the x-axis â€“ also known as zeros), substitute in 0 for y and solve for x.
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Algebra Examples Use the slope-intercept form to find the slope. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is Undefined. All lines that are parallel to m=37 m = 3 7 have the same slope of Undefined .
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The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
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To find the y-intercept(s) (the point where the graph crosses the y-axis), substitute in 0 for x and solve for y or f(x). To find the x-intercept(s) (the point where the graph crosses the x-axis â€“ also known as zeros), substitute in 0 for y and solve for x. Examples: Find the intercepts of the function given.
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Intro to slope-intercept form. Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
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['Step 1: For each (x,y) point calculate x2 and xy.', 'Step 2: Sum all x, y, x2 and xy, which gives us Σx, Σy, Σx2 and Σxy (Σ means "sum up")', 'Step 3: Calculate Slope m:', 'm = N Σ(xy) − Σx Σy N Σ(x2) − (Σx)2', 'Step 4: Calculate Intercept b:', 'b = Σy − m Σx N.', 'Step 5: Assemble the equation of a line.']
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The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x+5 y = 4 x + 5 must have a slope that is the negative reciprocal of the original slope.
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Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.
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Once your equation is in slope-intercept form: "y = mx+b", the coefficient of "x" (the "m") is the slope. The constant (the "b") is the y-intercept at (0, b).