Question

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

Answer 1

Answer:

2x + 5

Step-by-step 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

Answer:

$y = 2x + 5$

Step-by-step 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:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$, where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

$m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2$

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.

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