Answer:
y = -7/3x - 56/3
Explanation:
Since we're given two points, we can find the equation of the line in slope-intercept form, whose general equation is given by:
y = mx + b, where:
- m is the slope,
- and b is the y-intercept.
Finding the slope (m):
Given two points on a line, 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,
- and (x2, y2) is another point.
Thus, we can find the slope (m) of the line by substituting (-5, -7) for (x1, y1) and (-8, 0) for (x2, y2) in the slope formula:
m = (0 - (-7)) / (-8 - (-5))
m = (0 + 7) / (-8 + 5)
m = 7 / -3
m = -7/3
Thus, the slope of the line is -7/3.
Finding the y-intercept (b):
Now, we can find the y-intercept by substituting -7/3 for m and (-5, -7) for (x, y) in the general equation of the slope-intercept form:
-7 = -7/3(-5) + b
(-7 = 35/3 + b) - 35/3
-56/3 = b
Thus, the y-intercept of the line is -56/3.
Writing the equation of the line (in slope-intercept form):
Therefore, y = -7/3x - 56/3 is the equation of the line (in slope-intercept form) that contains the points (-5, -7) and (-8, 0)