Write an equation of the line that passes through the given points
(-4, -2) and (-3, 5)
(2 points)
To find the equation of the line passing through two points, we can use the slope-intercept form of a linear equation, which is:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, let's find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (-4, -2) and (-3, 5), we have:
m = (5 - (-2)) / (-3 - (-4))
m = 7 / 1
m = 7
Now that we have the slope (m = 7), we can choose one of the given points to substitute into the equation. Let's use the point (-4, -2). Plugging in the values for x, y, and m, we have:
-2 = 7*(-4) + b
Solving for b:
-2 = -28 + b
b = -2 + 28
b = 26
Therefore, the equation of the line passing through the points (-4, -2) and (-3, 5) is:
y = 7x + 26