Question

Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.

Answer 1

The equation of the line in slope-intercept form is:

y = 3/5x + 5

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

Taking two points

• (-5, 2)

• (5, 8)

Taking two points (-5, 2) and (5, 8) to determine the slope

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)`

`m=(8-2)/(5-\left(-5\right))`

Refine

`m=(3)/(5)`

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation

y = mx+b

y = 3/5x + 5

Therefore, the equation of the line in slope-intercept form is:

y = 3/5x + 5