Question

If a line has a slope of 3 and goes through the point (-6,4) write the equation of the line in standard form

Answer 1

Answer:

- 3x + y = 22

Step-by-step explanation:

Equation of the line

There are several forms to write the equation of a line.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The standard form of the equation of a line is:

Ax + By = C

We are given the slope m=3 and the point (-6,4). Substituting into the first equation:

y - 4 = 3 ( x + 6 )

Operating:

y - 4 = 3x + 18

Adding 4:

y = 3x + 18 + 4

Subtracting 3x, we get the standard form:

- 3x + y = 22