Question

Write the equation of the line that passes through the points (4,8) and (-9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

The equation of a line in point-slope form is:

y - y1 = m(x - x1)

The slope m of a line is given by the following formula:

`m=(y2-y1)/(x2-x1)`

In this case, we are given the points (4,8) and (-9,5), then we get:

`m=(5-8)/(-9-4)=(-3)/(-13)=(3)/(13)`

By replacing the value of m into the point-slope equation, we get:

`y-y1=(3)/(13)(x-x1)`

By replacing 4 for x1 and 8 for y1, we get:

`y-8=(3)/(13)(x-4)`