Question

write the equation of a line in slope y-intercept form that passes through the points (-4, -2) and (3, 4)

Answer 1

Explanation:

to. write the equation of a line in slope y intercept form that passes through the line points of 0402 and -3-2 like you asked, write it

Answer 2

let's find the equation of the line using the slope-intercept form, y = mx + b.

First, let's find the slope (m):

m = (y2 - y1) / (x2 - x1)

Using the coordinates (-4, -2) and (3, 4):

m = (4 - (-2)) / (3 - (-4))
= 6 / 7

Now, let's substitute one of the points into the equation to find the y-intercept (b). Let's use the point (-4, -2):

-2 = (6/7)(-4) + b

Simplifying,

-2 = -24/7 + b

To solve for b, we add 24/7 to both sides:

b = -2 + 24/7
= -14/7 + 24/7
= 10/7

So, the equation of the line in slope-intercept form is y = (6/7)x + 10/7.