Question

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

Please help, I’m struggling so much with this and maybe I can get help to understanding. The points on the graph are (-1,1) and (1,4)

Answer 1

Choice 1. -3x + 2y = 5.

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).