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]