Question

A line passes through the point (6,-9) and has a slope o 3/2

Answer 1

Point-Slope form: y+9 = 3/2(x - 6)

Slope-Intercept form: y = 3/2x - 18

Standard form: 3x - 2y = 36

Explanation:

Point-Slope form is the easiest to get form given information. The equation is y - y1 = m(x - x1) where x1 and y1 are the given point and m is the slope. Once you have point slope, you can solve to find slope intercept (solving for y). You can then find standard form.

Answer 2

3x - 2y = 36.

Explanation:

I am assuming you want the equation of the line.

Use the point-slope form of a straight line:

y - y1 = m(x - x1) where m = the slope and (x1,y1) is a point on the line.

Substituting the given values, the equation is:

y - (-9) = 3/2(x - 6)

y + 9 = 3/2(x - 6)

Converting to standard form:

2y + 18 = 3x - 18

3x - 2y = 36 (answer).