Question

Find an equation of the line having the given slope and containing the given point.
m = 3​, ​(7​,1​)

Answer 1

The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is given as 3 and the point (7,1) is on the line.

So, substituting the values into the equation, we have:
1 = 3(7) + b

Simplifying the expression:
1 = 21 + b

Subtracting 21 from both sides of the equation:
1 - 21 = b
-20 = b

So the equation of the line with slope 3 and containing the point (7,1) is:
y = 3x - 20