slope intercept

Question

Find the slope-intercept form for the line passing through (5,3) and parallel to the line passing through (2,3) and (−6,1).

Answer 1

we need an equation in y = mx + b form

 

let's find m, which is the slope

 

parallel lines have equal slopes

 

the slope of the line passing thru (2, 3) and (-6, 1) is:

 

(1 - 3)/(-6 - 2) = -2/-8 = 1/4

 

since the line must pass thru (5, 3), we can use these as values of x and y in the slope-intercept form for the line:

 

3 = (1/4)(5) + b

 

3 = 5/4 + b

 

b = 3 - (5/4) = 12/4 - 5/4 = 7/4

 

the equation of the line is y = (1/4)x + 7/4