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?
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. \(m = -3\). \(m+b=-4+(-3)=-7\)
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!
