How to find the y-intercept given #7x - 14y = 35#?

1 Answer
Mar 11, 2018

Answer:

See a solution process below:

Explanation:

First, divide each side of the equation by #color(red)(7)# to reduce the coefficients:

#(7x - 14y)/color(red)(7) = 35/color(red)(7)#

#(7x)/color(red)(7) - (14y)/color(red)(7) = 35/color(red)(7)#

#1x - 2y = 5#

This equation is now in Standard Linear Form. The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#

#color(red)(1)x - color(blue)(2)y = color(green)(5)#

Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

The slope of an equation in standard form is: #m = -color(red)(A)/color(blue)(B)#

Substituting gives:

#m = -color(red)(1)/color(blue)(-2) = 1/2#