Answer:
y=29-5x
Step-by-step explanation:
SOLUTION
The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.
We have that x1=4, y1=9, x2=7, and y2=−6.
Plug the given values into the formula for a slope: m=−6−97−4=−5.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=9−(−5)⋅(4)=29
Finally, the equation of the line can be written in the form y=b+mx:
y=29−5x
