Question

Where do lines modeled by equations y=-7/8x+1/4 and y=-3/4x+1/2 intersect

Answer 1

If they intersect they have the same x and y values so we can say y=y which can be expressed as:

-7x/8+1/4=-3x/4+1/2  make all terms have a common denominator of 8

-7x/8+2/8=-6x/8+4/8  now multiply all terms by 8

-7x+2=-6x+4  add 6x to both sides

-x+2=4  subtract 2 from both sides

-x=2  divide both sides by -1

x=-2, now we solve for y using either original equation...

y=-3(-2)/4+1/2

y=6/4+1/2

y=6/4+2/4

y=8/4

y=2  so the lines intersect at the point:

(-2, 2)

Answer 2

The lines would intersect at (-2,2)