Answer:
y + 4 = -3/2(x + 4)
Explanation:
The general equation for the point-slope form is given by:
(y - y1) = m(x - x1), where
- m is the slope,
- and (x1, y1) is one point on the line.
Step 1: Find m, the slope:
We can find the slope using the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1), where
- m is the slope,
- (x1, y1) is one point on the line,
- and (x2, y2) is another point on the line.
Thus, we can plug in (-4, -4) for (x1, y1) and (-2, -7) for (x2, y2) in the slope formula to find m, the slope of the line:
m = (-7 - (-4)) / (-2 - (-4))
m = (-7 + 4) / (-2 + 4)
m = -3/2
Thus, the slope of the line is -3/2.
Step 2:
Let's use (-4, -4) as our (x1, y1) point in the point-slope form:
y - (-4)) = -3/2(x - (-4))
y + 4 = -3/2(x + 4)