Write the slope-intercept form of the equation of the line through (4,1) and parallel to 2x+5y=10

Guest Sep 10, 2020

#1**+1 **

Arrange given line into y = mx+b form to find slope , m

m = -2/5 parallel slope is the same

Here is your new line equation in POINT-SLOPE form

(y-1) = -2/5 (x-4) now re-arrange this into y = mx + b form

A second method:

new line is slope intercept form:

y = -2/5 x + b sub in the point given

1 = -2/5 (4) + b solve this for 'b'

then your new line is y = -2/5 x + b

ElectricPavlov Sep 10, 2020