Question

Find the equation of the line shown

Answer 1

y = 2x + 5

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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)

m =
`(7+1)/(1+3)` =
`(8)/(4)` = 2 , then

y = 2x + c ← is the partial equation

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

Using (1, 7 ) , then

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← equation of line