Answer:
y = -4x
Explanation:
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):
- We can find the slope (m) using the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1), where
- (x1, y1) is one point on the line,
- and (x2, y2) is another point on the line.
Thus, we can plug in (0, 0) for (x1, y1) and (2, -8) for (x2, y2) to find m, the slope of the line:
m = (-8 - 0) / (2 - 0)
m = -8/2
m = -4
Thus, the slope of the line is-4.
Finding the y-intercept (b):
- We see that the point (0, 0) lies on the line so the y-intercept is 0 since the line intersects the y-axis at (0, 0).
- When the y-intercept is 0, we don't write it in the equation.
Thus, the equation of the line is y = -4x.