Home > Algebra > Linear Equations in Point-Slope Form

How do you write an equation in point-slope form for the given (-5, 0) with slope 4?

Answer 1

Nathan Axel

#y=4(x+5)#

The point-slope form of a linear equation is #y-y_1=m(x-x_1)#, where #m# is the slope, and #(x_1, y_1)# is the point.

Substitute the given values into the equation.

#y-0=4(x-(-5))# =

#y=4(x+5)#

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

Answer 2

Nathan Axel

To write an equation in point-slope form using the given point ((-5, 0)) and slope (4), you can use the formula:

[ y - y_1 = m(x - x_1) ]

where (m) is the slope and ((x_1, y_1)) is the given point.

Substituting the given values, the equation becomes:

[ y - 0 = 4(x - (-5)) ]

Simplify the expression:

[ y = 4(x + 5) ]

This is the equation in point-slope form for the given point ((-5, 0)) with slope (4).

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.