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

Step-by-step explanation:

Step 1:  Convert into expressions

y = one-fourth x minus 1 → $y = \frac{1}{4}x-1$

y = negative one-half x minus one-fourth → $y = -\frac{1}{2}x - \frac{1}{4}$

They intersect at $(1, -\frac{3}{4})$

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

Answer 2

Answer:

First one: (1,-¾)

Step-by-step explanation:

y = ¼x - 1

y = -½x - ¼

¼x - 1 = -½x - ¼

¾x = ¾

x = 1

y = ¼ - 1 = -¾