Question

Write an equation for the graph of each line.​

Answer 1

Answer:

5. y = 2x + 4

6. y = -0.5x - 2

Step-by-step explanation:

5. Slope: (4-0)/(0--2) = 4/2 = 2

y-intercept: 4

y = 2x + 4

6. slope: (-2-0)/(0--4) = -2/4 = -0.5

y-intercept: -2

y = -0.5x - 2

Answer 2

Answer:

5. y = 2x + 4

6. y = (-1/2)x - 2

Step-by-step 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.