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How do you find slope-inercept equation

User Jellezilla
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1 Answer

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21 votes

Answer

Check Explanation

Step-by-step explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + b

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

b = y-intercept of the line.

So, the intercept is just written as the point where the line crosses the y-axis.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as


Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)

So, all that is required to write the slope-intercept equation of a line is two points on the line and the point where the slope crosses the y-axis.

Hope this Helps!!!

User Saneef
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