Question

Identify the graphed linear equation.​

Answer 1

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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(3,\:7\right)$

$m=\frac{7-0}{3-1}$

$m=\frac{7}{2}$

We know the slope-intercept form of the line equation

$y=mx+b$

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

$y=mx+b$

y=7/2x + (-3.5)

y = 7/2x - 3.5

Thus, the linear equation of the graphed line:

• y = 7/2x - 3.5