Question

Write the equation for the following graph:

Slope (m)
Y-intercept (b)=
Equation: y =
X +

Answer 1

y = - 3x - 2

Explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m =
`(-2-4)/(0+2)` =
`(-6)/(2)` = - 3

The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2

y = - 3x - 2 ← equation of line