What would be the slope-intercept function for a line that crosses points (3, -2) & (1, 4)? Question What would be the slope-intercept function for a line that crosses points (3, -2) & (1, 4)? in progress 0 Math Skylar 3 months 2022-02-03T07:02:00+00:00 2022-02-03T07:02:00+00:00 1 Answer 0 views 0

## Answers ( )

Answer:[tex]y=-3x+7[/tex]

Step-by-step explanation:The slope of the line passing through the points (3,-2) and (1,4) is

[tex]\dfrac{4-(-2)}{1-3}=\dfrac{4+2}{-2}=\dfrac{6}{-2}=-3[/tex]

Hence, the equation of the line is

[tex]y-(-2)=-3(x-3)[/tex]

Rewrite it:

[tex]y+2=-3x+9\\ \\y=-3x+9-2\\ \\y=-3x+7[/tex]

The last equation is the slope-intercept equation of linear function.