what do the slope and y-intercept mean?
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The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
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['Identify the slope, m. 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.']
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Point slope form and slope intercept form are both ways of expressing the equation of a straight line. Point slope form emphasizes the slope and ANY point on the line. Slope intercept form just shows the slope and the y-intercept of a line.
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We call m the slope or gradient of the line. It represents the change in y-value per unit change in x-value. For example, consider the line given by the equation y = 2x + 1. Here are some points on the line.
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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).
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Zero! This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you'll get a slope of zero. (By the way, all horizontal lines are of the form "y = some number", and the equation "y = some number" always graphs as a horizontal line.)
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To find the y-intercept, find where the line hits the y-axis. To find the x-intercept (which wasn't mentioned in the text), find where the line hits the x-axis. To find the slope, find two points on the line then do y2-y1/x2-x1 the numbers are subscripts.
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An equation in slope-intercept form of a line includes the slope and the initial value of the function. The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis.
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Point slope form emphasizes the slope and ANY point on the line. Slope intercept form just shows the slope and the y-intercept of a line.
216559
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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['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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In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. Where m is the slope and b is the y-intercept. And once you have your second point you can just draw a line through the two points and extend it in both directions.
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Slope-intercept form is y = mx + b form, where m represents the slope, and b represents the y-intercept. So if the equation of a line is y = 3/4 x - 2, then the line is written in slope intercept form, or y = mx + b form, with m = 3/4 and b = -2. To graph the line, start with the y-intercept, or b, of -2.
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Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
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The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).
687967
In math, the slope describes how steep a straight line is. It is sometimes called the gradient. The slope is defined as the "change in y" over the "change in x" of a line. If you pick two points on a line --- (x1,y1) and (x2,y2) --- you can calculate the slope by dividing y2 - y1 over x2 - x1.
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The difference in the y-values of two points on a line. ... y - y₁ = m (x - x₁), where m is the slope and (x₁, y₁) is a point on the line. slope-intercept form. The slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.