Answer:
5. y = 2x + 4
6. y = (-1/2)x - 2
Explanation:
5. We want to find the slope-intercept form of this, which is y = mx + b, where m is the slope and b is the y-intercept.
Slope is change in y divided by change in x. Here, let's take two random points: (-2, 0) and (0, 4). Then we have:
m = (4 - 0) / (0 - (-2)) = 4 / 2 = 2
The slope is thus 2.
The y-intercept is where the line crosses the y-axis. We see it does so at the point (0, 4), so b = 4.
Our equation is thus: y = 2x + 4.
6. Again, let's find the slope. Pick any two points: (-4, 0) and (0, -2). The slope will be:
m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -1/2
Now, look at the point (0, -2); that's where the line crosses the y-axis, so the y-intercept is b = -2.
Thus, the equation is: y = (-1/2)x - 2.