Answer:
The slope of the line is m = −11/3 ≈ −3.66666666666667 .
Step-by-step explanation:
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=−6, y1=7, x2=−3, y2=−4.
Plug the given values into the formula for a slope: m=−4−(7)−3−(−6)=−113.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=7−(−113)(−6)=−15
Finally, the equation of the line can be written in the form y=b+mx:
y=−15−11x3
