Question

Find the slope of the line and x- and y-interacts Given the following graphs. Draw Rise and Run On the graph and mark the intercepts.Watch positive and negative slopes!

Answer 1

Explanation:

The y-intercept is the point where x is 0:

`y-intercept=-6`

The x-intercept is the point where y is at 0:

`x-intercept=-2`

You can use these two points to find the slope (y and x-intercepts):

`(0,-6)(-2,0)`

Use the slope formula for when you have two points:

`(y2-y1)/(x2-x1)=(rise)/(run)`

Rise over run is the change in the y-axis over the change in the x-axis. Insert the values:

`(0(x1),-6(y1))\\(-2(x2),0(y2))`

`(0-(-6))/(-2-0)`

Simplify parentheses (two negatives makes a positive):

`(0+6)/(-2-0)`

Solve:

`(6)/(-2) =-(6)/(2) =-(3)/(1)=-3`

`slope=-3`

(You can draw the slope as
`-(3)/(1) =(3)/(-1) =(-3)/(1)`. The numerator moves up and down and the denominator moves left and right. If the number is negative, move down or to the left. If the number is positive, move up or to the right.)

Answer 2

Y-intercept: -6 X-intercept: -2

I believe the slope is -3.5. Good luck!

Explanation: