Question

What is the equation of the line that passes through the point ( − 0.5 , 8 ) and has a slope of − 5

Answer 1

Answer (assuming that the equation can be written in point-slope form):

Explanation:

Use the point-slope formula,
, to write the equation of the line in point-slope form. Substitute values for the
,
, and
in the formula.

Since
represents the slope, substitute -5 in its place. Since
and
represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction:
. So, substitute
for
and 8 for
. This gives the following answer and equation: