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.