Question

Find the point slope equation of the line through (10, -4) with a slope of -6.

Answer 1

y=-6x+56

Explanation:

The point-slope equation of a line is given as

y=mx+c where m is slope and c is y-intercept of a line.

We are given m=-6 and a point (10,-4) which can be put into y=mx+c to find the only unknown c. Thus,

c=-4+6x10=56.

Now we can easily form the point-slope equation of the line

y=-6x+56.