Write the equation of a line that passes through the point (0, 3) and (-4, 11). *

Step-by-step explanation:

Goal

Write the equation of a line with given coordinate points

Given

Coordinate points which are (0,3) and (-4,11).

Step 1

Use the slope formula also known as rise over run to calculate the slope.

Substitute coordinate points in.

Step 2

Substitute the value of slope in the slope-intercept form.

where m = slope and b = y-intercept.

Step 3

Substitute any given coordinate points in the new equation to find the value of b.

Substitute both coordinate points still give the same solution.

Step 3.1 — (0,3)

Step 3.2 — (-4,11)

Therefore, the value of b is 3.

Step 4

Substitute the value of b in the equation.

Hence, the equation of a line is y = -2x+3.

The decimal expansion would be .27 repeated