Question

What is the answer to

Answer 1

y = 4x - 16

Explanation:

Note that the slope-intercept form looks like: y = mx + b

It is given to us that (x , y) = (5 , 4) & the slope (m) = 4

Plug in the corresponding numbers to the corresponding variables.

y = mx + b

4 = (4)(5) + b

Simplify. First, multiply.

4 = 20 + b

Isolate the variable, b. Subtract 20 from both sides.

4 (-20) = 20 (-20) + b

b = 4 - 20

b = -16

Plug in -16 for b.

y = mx + b

y = (4)x + (-16)

y = 4x - 16 is your answer.

~

Answer 2

y = 4x-16

Explanation:

When we have a point and a slope, we use point slope form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y-4 = 4(x-5)

Distribute

y-4 = 4x-20

Add 4 to each side

y-4+4 = 4x-20+4

y = 4x-16

This is in slope intercept form (y= mx+b)

There 4 is the slope and -16 is the y intercept