Question

Find the equation of each line from the given information (f) x-intercept 5, y-intercept - 4

Answer 1

The equation of a line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

According to the information given in the exercise, the y-intercept is:

`b=-4`

And the x-intercept is 5.

So you know that the line passes through these points:

`(5,0);(0,-4)`

Then, you can find the slope of the line with the following formula:

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

In this case you can set up that:

`\begin{gathered} y_2=-4_{} \\ y_1=0 \\ x_2=0 \\ x_1=5 \end{gathered}`

Then, substituting values into the formula, you get that the slope is:

`\begin{gathered} m=(-4-0)/(0-5) \\ \\ m=(-4)/(-5) \\ \\ m=(4)/(5) \end{gathered}`

Knowing the values of "m" and "b", you can determine that the equation of this line in Slope-Intercept form, is:

`y=(4)/(5)x-4`

The answer is:

`y=(4)/(5)x-4`