Question

Find the equation of the line. Us Exact numbers.

Answer 1

`y =(2)/(3)x - 2`

Explanation:

Equation of a line:

Equation of the line in slope intercept form: y= mx + b.

Here, m is the slope and b is th y-intercept,

Choose two points from the graph. Using the two points, find the slope of the line using the slope formula.

(3 , 0) ; x₁ = 3 and y₁ = 0

(0, -2) ; x₂= 0 and y₂ = -2

`\boxed{\bf Slope = (y_2 - y_1)/(x_2 - x_1)}`

`\sf = (-2 -0)/(0 - 3)\\\\\\=(-2)/(-3)\\\\\boxed{m=(2)/(3)}`

At y-intercept, x = 0. So, the point (0, -2) is the y-intercept of the line.

b = -2

Answer:

`\bf y =(2)/(3)x - 2`