Question

Identify the graphed linear equation.​

Answer 1

The linear equation of the graphed line:

• y = 7/2x - 3.5

Explanation:

Given the points from the graph

• (1, 0)

• (3, 7)

Finding the slope between the points

`\mathrm{Slope}=(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=(7-0)/(3-1)`

`m=(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