Question

Type equation for the line shown in the graph

Answer 1

Answer:

y = $\frac{1}{2}$ x + 4

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, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line

m = $\frac{5-3}{2+2}$ = $\frac{2}{4}$ = $\frac{1}{2}$ , then

y = $\frac{1}{2}$ x + c ← is the partial equation

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

Using (2, 5 ) , then

5 = 1 + c ⇒ c = 5 - 1 = 4

y = $\frac{1}{2}$ x + 4 ← equation of line