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A line includes the points (-1, -10) and (1, 0). What is its equation in slope-intercept form?

User Tessad
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1 Answer

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The slope-intercept form:


y=mx+b

m - slope

b - y-intercept

The formula of a slope:


m=(y_2-y_1)/(x_2-x_1)

We have the points (-1, -10) and (1, 0). Substitute:


m=(0-(-10))/(1-(-1))=(10)/(1+1)=(10)/(2)=5

y = 5x + b

Put the coordinates of the point (1, 0) to the equation of line:


0=5(1)+b


0=5+b subtract 5 from both sides


-5=b\to b=-5

Answer: y = 5x - 5

User Keyamoon
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