Question

The system of equations y = one-fourth x minus 1 and y = negative one-half x minus one-fourth is shown on the graph below. On a coordinate plane, 2 lines intersect at (1, negative three-fourths). What is a reasonable estimate for the solution? (1, negative three-fourths) (Negative three-fourths, 1) (Negative 1, three-fourths) (Three-fourths, negative 1)

Answer 1

First one: (1,-¾)

Explanation:

y = ¼x - 1

y = -½x - ¼

¼x - 1 = -½x - ¼

¾x = ¾

x = 1

y = ¼ - 1 = -¾

Answer 2

Explanation:

Step 1: Convert into expressions

y = one-fourth x minus 1 →
`y = (1)/(4)x-1`

y = negative one-half x minus one-fourth →
`y = -(1)/(2)x - (1)/(4)`

They intersect at
`(1, -(3)/(4))`

Answer: Option A, (1, negative three-fourths)