Respuesta :

wegnerkolmp2741o

Answer:

C. y-10=2(x-1)

Step-by-step explanation:

We have two points on the line, we can find the slope

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

   = (10-2)/(1--3)

   = 8/(1+3)

   =8/4

  =2

The slope is 2

We can use point slope form using the point (1,10)

y-y1 = m(x-x1)

y-10 = 2(x-1)

gmany

Answer:

C. y - 10 = 2(x - 1)

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point

The formula of a slope:

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

We have the points (-3, 2) and (1, 10). Substitute:

[tex]m=\dfrac{10-2}{1-(-3)}=\dfrac{8}{4}=2[/tex]

Using the point (-3, 2):

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

Using the point (1, 10):

[tex]y-10=2(x-1)[/tex]

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