What is the slope and y-intercept of this line #15x - 3y = -90#?

1 Answer
smendyka
Jun 2, 2018

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

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

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

#color(red)(15)x - color(blue)(3)y = color(green)(-90)#

Or

#color(red)(15)x + (color(blue)(-3)y) = color(green)(-90)#

Therefore:

  • The slope of the line is: #m = (-color(red)(15))/color(blue)(-3) = 5#

  • The #y#-intercept is: #color(green)(C)/color(blue)(B) = (-90)/(-3) = 30# or #(0, 30)#

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