Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Write an equation in slope intercept form of the line that passes through (-2,10) and (1,1).

Sagot :

sunitadangol1234

Answer:

(-2,10)=x1,y1

(1,1)=x2,y2

we have,

(y-y1)=(y2-y1)/(x2,x1)[(x-x1)]

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

y-10=-9/3(x+2)

y-10=-3(x+2)

y-10=3x+6

y=3x+16

unicorn3125

Answer:

        y = -3x + 4

Step-by-step explanation:

The slope of a line passing through two points: (x₂, y₂) and (x₁, y₁) is:

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

(-2, 10)  ⇒  x₁ = -2,  y₁ = 10

(1, 1)    ⇒  x₂ = 1,  y₂ = 1

So:

      [tex]\bold{m=\dfrac{1-10}{1+2}=\dfrac{-9}{3}=-3}[/tex]

The point-slope form of equation of line is y - y₀ = m(x - x₀)

We can pick any of given poins, so:

x₀ = 1,  y₀ = 1   and  m = -3

y - 1 = -3(x - 1)

y = -3x + 3 + 1

y = -3x + 4      ←  slope intercept form of the line

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.