Answer:
The linear equation of the graphed line:
Step-by-step explanation:
Given the points from the graph
Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(3,\:7\right)[/tex]
[tex]m=\frac{7-0}{3-1}[/tex]
[tex]m=\frac{7}{2}[/tex]
We know the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
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
[tex]y=mx+b[/tex]
y=7/2x + (-3.5)
y = 7/2x - 3.5
Thus, the linear equation of the graphed line:
