Write an equation that passes through a pair of points
a. y= x+3
b. y= x-3
c. y= -x+2
d.y= -x-2

Answer:
C. [tex] y = -x + 2 [/tex]
Step-by-step explanation:
First, find the slope, m, of the line that passes through the two given points.
Slope = [tex] \frac{rise}{run} = \frac{-2}{2} = -\frac{1}{1} = -1 [/tex]
Next, determine the y-intercept, b.
The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.
Now, to get an equation of the line, substitute m = -1, and b = 2 in [tex] y = mx + b [/tex].
✅The equation would be:
[tex] y = -1x + 2 [/tex]
[tex] y = -x + 2 [/tex]