Question

On a coordinate plane, a point is at (negative 5, 3). To which linear equations is the coordinate a solution? Select two options. y = 2x + 13 y = –x – 2 y = 3x – 5 y = negative one-half x + 6 y = –2x – 2

Answer 1

Explanation:

always remember : a point is a coordinate pair of one x and one y value.

(-5, 3) means x = -5, y = 3

so, now everything should be clear, right ?

a solution is a pair of (x, y), for which the equation is correct (using the x and the y value in the places of the x and y variables still makes the equation sign true).

we have

1. y = 2x + 13

2. y = -x - 2

3. y = 3x - 5

4. y = -½ x + 6

5. y = -2x - 2

for 1. we get

3 = 2×-5 + 13 = -10 + 13 = 3 correct

for 2. we get

3 = --5 - 2 = 5 - 2 = 3 correct

for 3. we get

3 = 3×-5 - 5 = -15 - 5 = -20 false

for 4. we get

3 = -½×-5 + 6 = 5/2 + 6 = 2.5 + 6 = 8.5 false

for 5. we get

3 = -2×-5 - 2 = 10 - 2 = 8 false

Answer 2

see the photo

In-depth explanation: