How do you find the slope and y intercept for #2x-7y=44#?

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)(2)x - color(blue)(7)y = color(green)(44)#

Or

#color(red)(2)x + (color(blue)(-7)y) = color(green)(44)#

Therefore:

  • The slope of the line is: #m = (-color(red)(2))/color(blue)(-7) = 2/7#

  • The #y#-intercept is: #color(green)(C)/color(blue)(B) = 44/-7 = -44/7# or #(0, -44/7)#

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