Question

Points F and G lie on the graph of the equation y = −0.25x.

What are the y-coordinates for each point?
(4,_) (-8,_)

Monroe is graphing the equation . He has placed a point on the origin, and uses the slope to find two more points.

Which points does Monroe plot on his graph?

Choose exactly two answers that are correct.
A.(−9, 4)
B.(−4, 9)
C.(4, −9)
D.(9, −4)

What is the equation of the graphed line? http://static.k12.com/calms_media/media/1503000_1503500/1503203/2/3fb97202ea1472e8df07e0250cb462b9a62b679a/MS_IMC-140516-1000013.jpg

Answer 1

@pottersheep
@vlery

Answer 2

@tinybookworm

Answer 3

For the first problem, we would put x into the function to find y. For example, we had
x = 4, so \(y=-0.25x=-0.25 \times 4=1\). You can do the same thing with the second point.

Answer 4

I don't get the second problem. Sorry

Answer 5

As you know, the general form of a function is \(y=mx+b\),
\(m\) is the slope, \(b\) is the y-intercept. Now we have to find \(m\) and \(b\).

As you can see, when x runs 6, y rises 1. Therefore, \(slope = m = \frac{rise}{run}=\frac{1}{6}\).

Next, we need the y-intercept. In this case, y-intercept is clearly 0.

So the equation of the line is \(y=\frac{1}{6}x+0=\frac{1}{6}x\).