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=](https://us-static.z-dn.net/files/d44/d564d431415d44e59646ce12069fdd55.png)
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