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Answer:
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
- m is the slope
- b is the y-intercept
Given the attached graph of a line.
Taking two points from the line, such as
- (2, -3)
- (6, 0)
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
