Question

An equation is shown.

y-7= -4(x+6)
Complete the statements.
The equation rewritten in slope intercept form is [DROP DOWN 1].
The point [DROP DOWN 2] is on the graph of the line.
DROP DOWN 1?

Answer 1

Answers:

Slope intercept equation is y = -4x - 17

The point (-6, 7) is on the graph of the line.

====================================================

Step-by-step explanation:

Let's solve for y

y - 7 = -4(x+6)

y - 7 = -4x - 24

y = -4x - 24 + 7

y = -4x - 17

It is now in slope intercept form y = mx+b

m = -4 = slope

b = -17 = y intercept

---------------

Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)

The (x1,y1) is a point the line goes through.

Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))

We can see that x1 = -6 and y1 = 7

Therefore, the point (x1,y1) = (-6,7) is on the line.