What is the standard form equation of the line shown below? (1 point) 1. -3x+2y=5 2. 3x-2y=-5 3. y-4= 3/2(x-1) 4. y=3/2x+5/2 , i’m struggling so much with this and maybe i can get to understanding. the points on the graph are (-1,1) and (1,4)

Choice 1.  -3x + 2y = 5.

Step-by-step explanation:

The slope of the line = y2-y1/x2-x1

= (4 - 1) / (1 - (-1))

= 3/2.

To find the equation of the line we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)  where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):

y - 4 = 3/2(x - 1)

y - 4 = 3/2 x - 3/2

Multiply through by 2:

2y - 8 = 3x - 3

-3x + 2y = -3 + 8

-3x + 2y = 5 (answer).