How do you find the slope and intercept of #5x+y=12#?

1 Answer
Aug 21, 2017

Answer:

See a solution process below:

Explanation:

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)(5)x + color(blue)(1)y = color(green)(12)#

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

The slope for this line is: #m = -color(red)(5)/color(blue)(1) = -5#

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

The #y#-intercept for this line is: #color(green)(12)/color(blue)(1) = 12# or #(0, 12)#