Question

Write an equation for the line that gose through the points (-2,6) and (2, 12)

Answer 1

Answer:

y = $\frac{3}{2}$ x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = $\frac{12-6}{2-(-2)}$ = $\frac{6}{2+2}$ = $\frac{6}{4}$ = $\frac{3}{2}$ , then

y = $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = $\frac{3}{2}$ x + 9 ← equation of line