Question

5. Please help. Which equation in slope-intercept form represents a line that is parallel to y=1/2x−2 and passes through the point (−8,1)?

Answer 1

Heyo! ;D

1. Yes, lines l and k are parallel because the slopes are equal.

2. Yes, lines l and k are parallel because their slopes are equal.

3. Allana can show that UZ/XZ = VZ/YZ using the properties of similar triangles...

4. y = -4x

5. y = 1/2x + 5

Hope this helps! If so, please lmk! Tysm and good luck!

Answer 2

Given:

The given equation of line is
`y=(1)/(2)x-2`

The line passes through the point (-8,1)

We need to determine the equation of the line parallel to the line
`y=(1)/(2)x-2`

Slope:

Since, the lines are parallel, the slope of the line is given by

`m=(1)/(2)`

Hence, the slope is
`m=(1)/(2)`

Equation of the line:

The equation of the line can be determined using the formula,

`y-y_1=m(x-x_1)`

Substituting the point (-8,1) and the slope
`m=(1)/(2)` in the above formula, we get;

`y-1=(1)/(2)(x+8)`

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

`y=(1)/(2)x+5`

Thus, the equation of the line is
`y=(1)/(2)x+5`

Hence, Option C is the correct answer.