Question

Help me pls geometry

Answer 1

`y = (1)/(2)x + (1)/(4)`

Explanation:

Equation in slope-intercept form is given as
`y = mx + b`

An equation parallel to
`y = (1)/(2)x + (5)/(2)` would have the same slope as the equation.

The slope (m) of the line would be ½.

m = ½.

Given that this same line runs through or contains (³/2, 1), we cam find the value of b (y-intercept) by substituting m = ½, x = ³/2, and y = 1 in
`y = mx + b`.

Thus:

`1 = ((1)/(2))((3)/(2)) + b`

`1 = (3)/(4) + b`

Subtract both sides by ¾

`1 - (3)/(4) = b`

`(1)/(4) = b`

To derive the equation, substitute m = ½, and b = ¼ in
`y = mx + b`.

✔️The equation is:

`y = (1)/(2)x + (1)/(4)`