Home > Algebra > Write an Equation Given Two Points

What is the equation of the line passing through #(13,7)# and #(19,19)#?

Answer 1

Genesis Allen

#2x-y=19#

The equation of a line passing through two points #(x_1,y_1)# and #(x_2,y_2)# is given by

#(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)#

Hence equation of line passing through #(13,7)# and #(19,19)# is

#(y-7)/(19-7)=(x-13)/(19-13)# or

#(y-7)/12=(x-13)/6# or #(y-7)/2=(x-13)#

or #(y-7)=2(x-13)# or

#y-7=2x-26# i.e.

#2x-y=19#

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

Answer 2

Isaiah Anthony

To find the equation of the line passing through the points (13,7) and (19,19), you first need to find the slope (m) using the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Then, you can use the slope-intercept form of the equation of a line, which is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. After finding the slope, you can use one of the given points to solve for the y-intercept ( b ). Finally, plug the slope and y-intercept into the equation ( y = mx + b ) to get the equation of the line.

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.