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The equation of the line that passes through the points (-2,0) and (0,8) can be expressed in the form y=mx+b. What is the value of m+b?

 Jun 26, 2021
 #1
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We start by finding the slope. The change of y is +8 and the change of x is +2 between these points. This gives a slope of 8/2 or 4. we then find the y intercept or the y when x is 0. In this case y is 8 when x = 0. In slope intercept form this is y=4x+8. Giving us m+b=12

 Jun 26, 2021
 #2
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Someone can check my math idk.

Guest Jun 26, 2021
 #3
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slope = (y1-y2)/(x1-x2) = -8/-2 = 4

 

y = 4x+b    sub in one of the points to find 'b'

0 = 4(-2) +b      b = 8

 

 

y = 4x + 8       m + b = 12

 Jun 26, 2021

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