Question

passing through (1,-3) with x-intercept= -2.

Answer 1

Given required line passes through (1,-3)

And x intercept of line is -2

Line equation passing through the two points is

Subtract x,2 from each side.

Required line equation

Slope = -1, y intercept is -2.

 

Answer 2

Slope-intercept form line equation is y = mx + b, where m is slope and b is y-intercept.

Let the points are (x₁, y₁) = (1, - 3) and (x₂, y₂) = (- 2, 0).

Slope (m) = [(y₂ - y₁)/(x₂ -x₁)]

m = [(0 - (- 3))/(- 2 - 1)]

m  = 3/- 3

⇒ m = - 1.

Now, the line equation is y = - x + b.

Find the y - intercept by substituting any point in the line equation say (x, y) = (- 2, 0).

0 = (- 1)(- 2) + b

b = 0 - 2

⇒ b = - 2.

The line equation in slope - intercept - form is y = - x - 2.