Question

Determine the vertical change of a line with an x-intercept at (-4, 0) and a y-intercept at (0, 5). Type a numerical answer in the space provided. If necessary, use the / key as a fraction bar. Do not type spaces in your answer. a0.

Answer 1

y=ax+b

Slope=5/4

y=5/4x+b

y-intercept=5

y=5/4x+5

Answer 2

Explanation:

Consider the provided information.

It is given that the x-intercept at (-4, 0) and a y-intercept at (0, 5).

The slope of a line is m =
`(Rise)/(Run)`

Where Rise represents the vertical change and Run represents the horizontal change.

Or we can say the slope of a line is vertical change divided by the horizontal change.

For the coordinate
`(x_1, y_1)\ \text{and} \ (x_2, y_2)` the slope is:

`m=(y_2-y_1)/(x_2-x_1)`

Now substitute
`(x_1, y_1)=(-4,0)\ \text{and} \ (x_2, y_2)=(0,5)` in above formula.

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

`m=(5)/(4)`

Thus, the slope of the line is 5/4.

The equation of line is y=5/4x+5, where 5 is the y intercept.

The vertical change of the line is 5 unit and horizontal change is 4 unit.