Question

Use point-slope form to write the equation of a line that passes through the point (6,7) with slope -3

Answer 1

Explanation:

The equation of the line with slope m and having the y-intercept c is,

y=mx+c.

Here, the slope of the line is m=-3

Since the line equation is passing through the point (6,7).

That is, substitute 6 for x, 7 for y, and -3 for m in the equation y=mx+c

7=-3(6)+c

7=-18+c

c=25

Therefore, the equation of the line is,

y=-3x+25.