Answer:
The linear equation of the graphed line:
- y = 7/2x - 3.5
Step-by-step explanation:
Given the points from the graph
- (1, 0)
- (3, 7)
Finding the slope between the points
We know the slope-intercept form of the line equation
Where m is the slope and b is the y-intercept
substituting m = 7/2 and the point (1, 0) to find the y-intercept 'b'
y=mx+b
0 = 7/2(1) + b
0 = 7/2 + b
b = -7/2
b = -3.5
Thus, y-intercept 'b' = -3.5
substituting m = 7/2 and the y-intercept 'b' = -3.5 in the slope-intercept form
y=7/2x + (-3.5)
y = 7/2x - 3.5
Thus, the linear equation of the graphed line:
- y = 7/2x - 3.5