The points (3, 7) and (2, 4) fall on a particular line. What is its equation in slope-intercept form?

Question

slope intersect form: y=mx+b

 

 

I'm honestly so confused on how to solve this so if someone could suggest or show me the step by step process on solving this equation that would be great. Thank you

Answer 1

First, you have to know that the slope (m) of the line form by two points A(x1,y1) and B(x2,y2) is (y2-y1)/(x2-x1). 

 

So we get the slope of the line is (4-7)/(2-3)=3, so the line equation becomes y=3x+b.

 

Substituting one of the points into the equation, for instance, the first point(3,7): 7=3*3+b, we can get that b=-2

 

The equation of the line is y=3x-2