Respuesta :

Answer:

Equation: [tex]y=-\frac{5}{4} x[/tex]

Slope: [tex]-\frac{5}{4}[/tex]

Point: [tex](-4,5)[/tex]

Step-by-step explanation:

To find the slope, you need two points [tex](-4,5)[/tex] and [tex](0,0)[/tex].

Then use the Slope Formula to Identify the slope.

M = Slope

M = [tex]\frac{y2-y1}{x2-x1}[/tex]         Second y being subtracted by the first y / the second x being subtracted by the first x.

M = [tex]\frac{0-5}{0--4}[/tex]          Plot the x and y values (In order) Then subtract

M = [tex]\frac{-5}{4}[/tex]             Move the negative sign

M = [tex]-\frac{5}{4}[/tex]

Slope = [tex]-\frac{5}{4}[/tex]

Then the Equation has to be written in Slope-Intercept Form (y=mx+b)

y = [tex]-\frac{5}{4} x[/tex]