Which is the equation of the line that passes through the points (4,3) and (6,2)? A. Y= x - 1
B. Y= 0.5x - 1
C. Y= -0.5x + 5
D. Y= -0.5x + 1

Step-by-step explanation:

Goal

Find the equation of the line.

Given

Coordinate points which are (4,3) and (6,2).

Step 1

Find the slope by using slope formula or rise over run.

Substitute the coordinate points in

Step 2

Rewrite the equation in slope-intercept form by substituting m = -0.5

Substitute m = -0.5

Step 3

Find the value of b by substituting any given coordinate points in the equation.

Substituting both coordinate points still give the same answer.

Step 3.1

Substitute (4,3) in the equation.

Step 3.2

Substitute (6,2) in the equation.

Step 4

Rewrite the equation again by substituting the value of b.

Substitute b = 5 in the equation.

Hence, the equation is y = -0.5x + 5