Find the slope. Plot the points (-2,5) (1, 4).

y= 13/3−x/3

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=−2, y1=5, x2=1, y2=4.

Plug the given values into the formula for a slope: m=4−(5)1−(−2)=−13.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b=5−(−13)(−2)=13/3

Finally, the equation of the line can be written in the form y=b+mx:

y=13/3−x/3

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step-by-step explanation: