Respuesta :

wegnerkolmp2741o

points (-3,0) (0,4)

slope = (y2-y1)/(x2-x1)

m=(4-0)/(0--3)

m=4/3

point slope form

y-y1 = m(x-x1)

y-0 = 4/3 (x--3)

y = 4/3 (x+3)

y = 4/3 x +4

slope intercept form

gmany

The slope-intercept form:

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

m - slope

b - y-intercept → (0, b).

Let's take two point of the graph (look at the picture)

(-3, 0) and (0, 4) ← y-intercept, therefore b = 4

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\dfrac{4-0}{0-(-3)}=\dfrac{4}{3}[/tex]

Answer: [tex]\boxed{y=\dfrac{4}{3}x+4}[/tex]

Ver imagen gmany

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