Home > Algebra > Slope

How do you find the slope passing through (-4,7), (2,-5)?

Answer 1

Hazel Anglin

#"slope "=-2#

#"to calculate slope (m) use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(-4,7)" and "(x_2,y_2)=(2,-5)#

#rArrm=(-5-7)/(2-(-4))=(-12)/6=-2#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Avery Alexander

To find the slope passing through the points (-4,7) and (2,-5), you can use the slope formula:

[m = \frac{y_2 - y_1}{x_2 - x_1}]

Where:

(m) is the slope,
((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points.

Substituting the given points into the formula:

[m = \frac{-5 - 7}{2 - (-4)}]

[m = \frac{-12}{2 + 4}]

[m = \frac{-12}{6}]

[m = -2]

So, the slope passing through the points (-4,7) and (2,-5) is -2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.