At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

A line with a slope of -2 passes through the point (3,-1). Which of the following is the equation of the
line?


A Line With A Slope Of 2 Passes Through The Point 31 Which Of The Following Is The Equation Of The Line class=

Sagot :

Answer:

C.) y = -2x + 5

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".

m = -2        x = 3       y = -1

y = mx + b                         <---- General structure

y = -2x + b                         <---- Plug -2 in for "m"

-1 = -2(3) + b                      <---- Plug "x" and "y" values in from point

-1 = -6 + b                          <---- Multiply -2 and 3

5 = b                                  <---- Add 6 to both sides

Therefore, the equation of the line is:

y = -2x + 5