Question

Graph the line with slope -3/4 passing through the point (2,-1)

Answer 1

Explanation:

Slope of the line:

`m = (y-y1)/(x-x1) \\`

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

`m = (y-y1)/(x-x1) \\-(3)/(4) = (y-(-1)))/(x-2) \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0`

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)