Question

Reese wants the find the equation of the line that passes through the point (-4, 8) and has a slope of 3. Help her complete the work below.

Reese will first need to use _______ Formula to plug in ________ for x1

, ________ for y1, and ________ for the m

. Reese's final answer will be _________, which is written in _________ Form.


Answers:

A. Slope

B. 3

C. y=3x+20

D. Standard

E. -4

F. y=3x+12

G. Slope Intercept

H. Point Slope

I. 8

J. y=3x+4

Answer 1

Reese will first need to use point slope Formula to plug in- 4 for x1, 8 for y1, and 3 for the m

Reese's final answer will be y = 3x + 20, which is written in slope intercept Form.

Explanation:

The answers in terms of the choices and order in which the blanks appear are

H. Point Slope

E. -4

I. 8

B. 3

C. y=3x+20

G. Slope Intercept

The point slope form for a line
y - y1 = m(x - x1)

Pugging in x1 = -4, y1= 8 and m = 3 gives
y -8 = 3(x - (-4))

y - 8 = 3x + 12 Move -8 to right side
y = 3x +12 + 8
y = 3x + 20