Answer: k=143
Step-by-step explanation:
Let's start with the standard form of a linear equation: y = mx + b, where m ios the slope and b is trhe y-intercept (the value of y when x=0). We know the slope, so:
y = -15x + b
We can find the y-intercept, b, by using the one given point (6,-7) in the equation and solve for b:
y = -15x + b
-7 = -15(6) + b
-7 = -90+b
b = 83
The equation is y = -15x + 83
Use the x value of (-4,k) to find y, which will be k.
y = -15x + 83
y = -15(-4) + 83
y = 60 + 93
y = 143
k is 143
