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The equation of the line that passes through the points (-3,5) and (0,-4) can be expressed in the form y=mx+b. What is the value of m+b?

 Jun 16, 2021
 #1
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The point (0, -4) is the y-axis intercept. \(b=-4\). The gradient is \(\frac{\Delta y}{\Delta x}\) which is \(\frac{5-(-4)}{-3-0}\) which equals -3. \(m = -3\)\(m+b=-4+(-3)=-7\)

 Jun 16, 2021
 #2
avatar+145 
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y = mx + b

m = y2 - y1/x2 - x1

y2 = -4

y1 = 5

x2 = 0

x1 = -3

m = -4 - 5/0 - (-3)

m = -9/3 = -3

y = -3x + b

Substitute (0, -4) into the equation:

-4 = -3(0) + b

Solve for b:

b = -4

m + b = -3 + -4 = -7

The answer is -7

 

 

I hope this helps!

 Jun 16, 2021

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