Question

Please answer this question now in two minutes

Answer 1

`y=(3)/(2)x+4`

Explanation:

So the line C equation is
`y=(3)/(2)x+2` and line D is parallel to it and it passes through the point (4,10) and we need to ding the equation for line D.

So first we have a graph with line C listed and (4,10).

And we can keep listing more equations till we find the right one which is
`y=(3)/(2)x+4`.

So I got this by knowing that in parrelel lines the slope is the same but the y intercept changes which is why it was fast to find the answer.

Answer 2

y = 3/2x +4

Explanation:

The given line is in slope-intercept form.

y = mx + b

Comparing this form to your equation, we see ...

m = 3/2 . . . . . . the slope of the given line

__

When you know the slope and a point on the line, it is convenient to use a point-slope form of the equation of a line to start with.

y = m(x -h) +k . . . . line with slope m through point (h, k)

The slope of your parallel line is the same as the slope of the given line. So the required parameters are ...

m = 3/2, (h, k) = (4, 10)

Putting those into the form, we have ...

y = (3/2)(x -4) +10

Simplifying puts this in the required slope-intercept form.

y = 3/2x +4