Question

Find the equation, in slope-intercept form, of the line that passes through the points (5,2) and (-7, 3).

Answer 1

The points are .

Two - points form of line equation : .

Substitute the values of .

Cross multiplication.

Apply distributive property : .

Subtract 24 from each side.

Divide each side by negative 12.

.

The slope - intercept form of line equation is .

Answer 2

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

First find the slope using slope formula (m) = (y₂ - y₁)/(x₂ - x₁)

= (3 - 2)/(- 7 - 5)

m = - 1/12.

 

The line equation is y  = -1/12 x+ b

Find y-intercept value by substituting any point on the line say (5, 2)

2 = -1/ 12 * 5

b = 2 + 5/12 = 29/12

 

The line equation is y = -1/12 x + 29/12