Question

Write the equation of the line that passes through the points (3,7) and (3,-8) Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is

Explanation:

Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):

Now we use this slope in the general slope-intercept form of a line;

and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:

The the equation of the line is