How do you find the slope and intercept of #3x-2y=9#?

1 Answer
Mar 15, 2018

Answer:

See a solution process below:

Explanation:

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

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

#color(red)(3)x + (color(blue)(-2))y = color(green)(9)#

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

Substituting gives:

#m = -color(red)(3)/color(blue)(-2) = 3/2#

The #y#-intercept of an equation in standard form is: #color(green)(C)/color(blue)(B)#

Substituting gives:

#color(green)(9)/color(blue)(-2) = -9/2# or #(0, -9/2)#