how to find slope-intercept form with two coordinates?
289
This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
546048
You may already be familiar with the "y=mx+b" form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form! The "b" value (called the y-intercept) is where the line crosses the y-axis.
280495
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve for y.
613755
['Given the point we can use the point-slope formula to write the equation for this problem. The point-slope formula states: (y−y1)=m(x−x1)', '(y−34)=m(x−−3)', '(y−34)=m(x+3)']
1385893
The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.
481235
The form of the equation is Ax + By = C, so subtract Ax from both sides and divide both sides by B. You get : y = -(A/B)x +C/B. This is the slope intercept form.
76947
The graph of the equation y = mx + b (where m and b are real numbers) is a line with slope, m, and y-intercept, b. This form of the equation of a line is called the slope-intercept form. The y-intercept of a line (b), is the y-coordinate of the point where the graph of the line crosses the y-axis.
1438302
You are probably already familiar with the slope-intercept form of a line, y = mx + b. The standard form is just another way to write this equation, and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements).
1051523
In general, the slope intercept form assumes the formula: y = mx + b. mnemonic : 'b' means where the line begins.
679121
['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.']
270017
['Pick two points on the line and determine their coordinates.', 'Determine the difference in y-coordinates for these two points (rise).', 'Determine the difference in x-coordinates for these two points (run).', 'Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).']
16743
Intro to slope-intercept form. Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
1338770
Step 2: Use the formula y = mx + b to determine the y-intercept, b. Replace x and y in the formula with the coordinates of one of the given points, and replace m with the calculated value, (2). Find the equation of the line whose graph contains the points (1,–2) and (6,5). The answer will look like y = mx + b.
570933
The first of the forms for a linear equation is slope-intercept form. Equations in slope-intercept form look like this: y = mx + b. where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.
109618
In general, Slope Intercept form is y = mx + b. However, a vertical line has an undefined slope . They also do not have a y-intercept, because they run parallel to the y axis. Therefore, the general formula for a vertical line is x = x1.
774469
['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.']
576373
['To find the x-intercept, we set y=0 and solve for x.', 'To find the y-intercept, we set x=0 and solve for y.']