Home > Algebra > Linear Equations in Point-Slope Form

How do you find the slope and one point on the line that each point-slope equation represents for #y=3+2(x-1)#?

Answer 1

Hazel Anglin

Gradient is #2# point is #(1,3)#

All you really got to do is to arrange that equation: #y = 3 + 2(x - 1)# in the form below

#y - y_0 = m(x - x_0)#

where #m# is the gradient and the point is #(x_0, y_0)#

#=> y - 3 = 2(x - 1)#

Hence, it's easy to see that #m = 2# and the point is #(1,3)#

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

Answer 2

Isaiah Anthony

Point-slope equation:

#(y-y_1)=m(x-x_1)#

#y=3+2(x-1)#

#y-3=2(x-1)#

#y_1=3# and #x_1=1#

The point is (1,3) and the slope (#m#) is 2.

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

Answer 3

Ethan Adkins

The slope of the line represented by the point-slope equation y = 3 + 2(x - 1) is 2, and one point on the line is (1, 3).

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.