Answer:
y=3+4x
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−y1/x2−x1.
We have that x1=0, y1=3, x2=1, y2=7.
Plug the given values into the formula for a slope: m=7−(3)1−(0)=4.
Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).
b=3−(4)(0)=3
Finally, the equation of the line can be written in the form y=b+mx:
y=3+4x
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