Answer:
y = -8x
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is -8.
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
16 = -8(-2) + b
Let's simplify this to find b.
[multiply] 16 = 16 + b
[subtract 16] 0 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = -8x
This is your equation.
Check this by plugging in the point again.
16 = -8(-2)
[multiply] 16 = 16
This expression is true; therefore, your answer is correct.
Hope this helps!
