Write an equation that represents the line?

An equation that represents the line is:

y = 3/4x - 9/2

Step-by-step explanation:

The slope-intercept form of the line equation

where

Given the attached graph of a line.

Taking two points from the line, such as

Determining the slope between (2, -3) and (0, 6)

refine

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation

y = mx + b

subtract 3/2 from both sides

now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation

y = mx + b

y = 3/4x + (-9/2)

Therefore, an equation that represents the line is:

y = 3/4x - 9/2

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.