Question

Use point-slope form to write the equation of a line that passes through the point

(-12, 15) with slope - 1.

Answer 1

y=-1x+3

Explanation:

Find the equation of a line given the slope m = -1 and the point P = (-12 , 15)

Now, the y-intercept is b=y1−m⋅x1

b = 15 - (-1) ⋅ (-12) = 3

Finally, the equation of the line can be written in the form y=mx+b.

y = -1x + 3

Slope-intercept form is:

y = -1x + 3

Point-slope form is:

y - (15) = -1 ⋅ ( x - (-12))

If you want to check if right then:

Input the point given it should give you the y output if the equation of the line is correct.

-1x-(12)=12 and then add 3 and you get 15. It is therefore correct (-12,15).

I hope this helps!^^