Answer:
Explanation:
The equation of a line in slope-intercept form is given by
[tex]y=mx+b[/tex]where m is the slope and b is the y-intercept.
Now, we know that the slope is m = -3; therefore, the above equation becomes
[tex]y=-3x+b[/tex]Now we need to find the y-intercept b and we do this using the point (1, -7).
Now, from the point (1, -7 ) we know that when x = 1, y = -7; therefore, the above equation gives
[tex]-7=-3(1)+b[/tex][tex]\rightarrow-7=-3+b[/tex]Adding 3 to both sides gives
[tex]-7+3=-3+b+3[/tex][tex]-4=b[/tex]With the value of b in hand, we now write our equation as
[tex]y=-3x-4[/tex]which is our answer!
