Question

What’s the equation passing threw the points? And is parallel to the line 3x+y=3

Answer 1

The parallel line 3x + y =3, can be write on y-intercept form:

Solve for y the equation:

3x + y = 3

y = 3 -3x

Now, two lines are parallel when they have the same slope. In this case for line y= 3 -3x, the slope is the number with the x.

Therefore, the slope is -3.

Use the slope intercept-form using slope=m=3 and the point (1,-7):

`y-y_1=m(x-x_1)`

Replace these values and solve for y:

`y-(-7)=-3(x-1)`
`y+7=-3x+3`

Solving for x:

`y=3x+3-7`

The equation that passes through the point (1,-7) and is parallel to the line3x + y =3 is :

`y=-3x-4`