Answer:
y = -x - 3
Explanation:
The general equation for the slope-intercept form is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
Finding m (the slope):
We can find the slope (m) 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.
Thus, we can find the slope (m) by substituting (-4, 1) for (x1, y1) and (-3, 0) for (x2, y2):
m = (0 - 1) / (-3 - (-4))
m = -1 / (-3 + 4)
m = -1 / 1
m = -1
Thus, the slope is -1.
Finding b (the y-intercept):
Now we can find b (the y-intercept) by plugging in -1 for m and (-4, 1) for (x, y) in the slope-intercept form:
1 = -(-4) + b
(1 = 4 + b) - 4
-3 = b
Thus, the y-intercept is -3.
Writing the equation of the line in slope-intercept form:
Therefore, y = -x - 3 is the equation of the line in slope-intercept form that passes through the points (-4, 1) and (-3, 0).