FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.

y=+2

Step-by-step explanation:

for an equation to be parallel with another both should have the same rate of change(m).

the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)

Isolate for y:

2y+3x=8

2y=-3x+8

y=-3/2x+8/2

y=-3/2x+4

thus the slope of the line we are trying to find must also equal -3/2

use point slope form to find the equation (substitute (2, -1) into equation)

y-y1=m(x-x1)

y-(-1)=(-3/2)(x-2)

y+1=x+3

y=+2

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)