How to graph y=-4/3x+1 using the slope and intercept?

sz1izgoby

sz1izgoby

Answered question

2023-02-04

How to graph y = - 4 3 x + 1 using the slope and intercept?

Answer & Explanation

eminecic2rg

eminecic2rg

Beginner2023-02-05Added 10 answers

The line's slope-intercept form is shown y = m x + b , where m is the slope and b is the y -coordinate of the y -intercept, ( 0 , b ) .
By inspection, we can see that the y -intercept is ( 0 , 1 ) .
The slope is - 4 3 , which we can think of as Δ y Δ x or change in y over change in x . I think of it, in this case, as every move of 3 units to the right requires a move of 4 units down to stay on the line. So with that idea in mind, 3 units to the right from the y -intercept takes us to x = 3 . The corresponding 4 units down takes us to y = 1 - 4 = - 3 . So a second point on the line is ( 3 , - 3 ) .
Plot the points ( 0 , 1 ) and ( 3 , - 3 ) and connect them with a straight line.

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