Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Write a linear equation that goes through the points (-1,-10) and (5,2).


Sagot :

Answer:

y = 2x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 10) and (x₂, y₂ ) = (5, 2)

m = [tex]\frac{2-(-10)}{5-(-1)}[/tex] = [tex]\frac{2+10}{5+1}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 2 ) , then

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = 2x - 8 ← equation of line

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.