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

Since both equations are equal to y, set them equal to each other and solve.

-7/8 x + 1/4 = - 3/4x + 1/2

Multiply each term by the LCD 8.

8 (-7/8) x+8 (1/4) = 8 (-3/4) x+8 (1/2)

-7x + 2 = - 6x + 4

Add 7x to both sides

2 = x + 4

Subtract 4 from both sides

-2 = x

Plug - 2 into one of the original equations and solve for y.

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

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

y = 2

(-2, 2)