Question

Can someone explain to me how i do this and tell me the equation

Answer 1

Answer:

The equation of line in slope-intercept form is:

$y=2x+(-4)$

Step-by-step explanation:

Given the two points

• (0, -4)

• (3, 2)

slope between (0, -4) and (3, 2)

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

$\left(x_1,\:y_1\right)=\left(0,\:-4\right),\:\left(x_2,\:y_2\right)=\left(3,\:2\right)$

$m=\frac{2-\left(-4\right)}{3-0}$

$m=2$

We know that 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=-4

Thus, the value of y-intercept (b) = -4

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

$y=mx+b$

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

substituting m=2 and b=-4 in the intercept form

$y=mx+b$

$y=2x+(-4)$

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

$y=2x+(-4)$