Question

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

Answer 1

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.

Answer 2

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:


`( y_(1)- y_(2) )/( x_(1) - x_(2) )`

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


`(5(-5))/(0-4)`

Simplify:


`(5+5)/(-4)`


`(10)/(-4)`


`(-5)/(2)`

The slope is
`(-5)/(2)`.

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!