Question

Write the equation of the line that passes
through the points (-7,-9) and (-3,-1)

Answer 1

2x + 5

Explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Answer 2

`y = 2x + 5`

Explanation:

For this example, I used the slope-intercept form,
`y = mx + b`, where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

Finding m

The slope can be found with the formula:

`m = (y_(2) - y_(1))/(x_(2) - x_(1))`, where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

`m = (-1 + 9)/(-3 + 7)\\\\m = (8)/(4)\\\\m = 2`

Finding b

In order to find the y-intercept, we must substitute the slope back into the original equation:

`y = 2x + b`

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

`-1 = 2(-3) + b\\-1 = -6 + b\\5 = b`

Finding the equation

After this, all that must be done is to substitute the values for b and m back into the original equation.

`y = 2x + 5`

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

`(-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9`