Question

Write the equation of the line that goes through the point (1,-7) and m= -3. Write your answer in proper slope intercept form.

Answer 1

Step-by-step explanation:

The equation of a line in slope-intercept form is given by

`y=mx+b`

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

`y=-3x+b`

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

`-7=-3(1)+b`
`\rightarrow-7=-3+b`

Adding 3 to both sides gives

`-7+3=-3+b+3`
`-4=b`

With the value of b in hand, we now write our equation as

`y=-3x-4`

which is our answer!