Write the equation of the line fully simplified slope-intercept form.

Question

asked Aug 3, 2021 128k views

1 Answer

Eluong · Answer 1 · 2021-08-08T03:37:19+0000

Answer:

The equation of the line fully simplified slope-intercept form:

Explanation:

We know the slope-intercept form of the line equation is

y = mx + b

where m is the slope and b is the y-intercept

Given the points on the line

Finding the slope between the points (0, -5) and (3, 0)

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

$\left(x_1,\:y_1\right)=\left(0,\:-5\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)$

$m=(0-\left(-5\right))/(3-0)$

m=(5)/(3)

We know the y-intercept can be determined by setting x = 0 and solving for y.

From the graph, it is clear that

at x = 0, y = -5

Thus, the y-intercept = b = -5

now substituting b = -5 and m = 5/3 in the slope-intercept form

y = mx+b

$y\:=\:(5)/(3)x+\left(-5\right)$

$y\:=\:(5)/(3)x-5$

Thus, the equation of the line fully simplified slope-intercept form: