Question

What is the slope that passes through the points : (-2,9) and (4,-7)

Answer 1

Use the slope formula below:

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

$\large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }$

Therefore the slope is -8/3

Answer

• the slope is -8/3

Hope this helps! Let me know if you have any doubts.

Answer 2

Answer:

y = -8 / 3x + 11/3

Step-by-step explanation:

Using the slope formula:

$slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

1. Select one point to be $(x_{1} ,y_{1} )$ and the other $(x_{2} ,y_{2} )$

I chose (-2, 9) to be $(x_{1} ,y_{1} )$ and (4, -7) to be $(x_{2} ,y_{2} )$

2. Plug the values into the formula:

$y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}$

3. Finding the c-value by plugging in one of the points into the equation

y = mx + c

9 = -8/3 (-2) + c

9 = 16/3 + c

c = 11/3

4. y = -8/3x + 11/3