Respuesta :

Slope-intercept equation:

y = mx + c

m = slope

c = y-intercept

y = - 3x + 31

Answer:

[tex]y=-3x+31[/tex]

Step-by-step explanation:

the general form of the slope-intercept equation is as follows:

[tex]y=mx+b[/tex]

where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the y-intercept.

In this case we know that the slope is:

[tex]m=-3[/tex]

and the y-intercept is the value of [tex]y[/tex] when [tex]x=0[/tex], from the given point the y-intercept is at (0, 31) so the value of y, when [tex]x=0[/tex] is [tex]31[/tex], thus:

[tex]b=31[/tex]

and we substitute this values in the general form of the equation:

[tex]y=mx+b\\y=-3x+31[/tex]

the slope intercept equation is [tex]y=-3x+31[/tex]

ACCESS MORE