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

Answer:

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

y = 3/5x + 5

Step-by-step 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

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

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

$m=\frac{8-2}{5-\left(-5\right)}$

Refine

$m=\frac{3}{5}$

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