what are the slope and why intercept shown on the graph below

Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

[tex] \frac{ y_{1}- y_{2} }{ x_{1} - x_{2} } [/tex]

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

[tex] \frac{5(-5)}{0-4} [/tex]

Simplify:

[tex] \frac{5+5}{-4} [/tex]

[tex] \frac{10}{-4} [/tex]

[tex] \frac{-5}{2} [/tex]

The slope is [tex] \frac{-5}{2} [/tex].

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!

cedarwood79 cedarwood79 · Answer 2 · 2018-03-10T00:34:34+01:00

Hi there! The formula for finding the slope is y2 - y1/ x2 - x1, where the first x and y-coordinates are subtracted from the second x and y-coordinates. We have the two points on the graph marked. We will use (0, 5) and (4, -5) in this case. Here are the numbers that represent each:

y2 = -5
y1 = 5
x2 = 4
x1 = 0

Let's subtract. -5 - 5 is -10. 4 - 0 is 4. -10/4 is -2 1/2 in simplest form or -5/2 as a mixed number. We found the slope. The y-intercept is where the line crosses, where the x-axis is 0. In this case, we can see by the point given out that the slope intercept is 5. There. The slope is -5/2 and the slope-intercept is 5. The answer is B.