Question

How do I put these dots into a standard form equation (-4,3) and (-2,0).​

Answer 1

To convert the points (-4,3) and (-2,0) into a standard form equation of a line, calculate the slope, use the point-slope form with one of the points, and then rearrange into Ax + By = C.

Step-by-step explanation:

To put the points (-4,3) and (-2,0) into a standard form equation of a line, you need to follow a series of steps:

1. Find the slope (m) of the line using the formula: m = (y2 - y1) / (x2 - x1).
2. With the slope and one of the points, use the point-slope form which is y - y1 = m(x - x1).
3. Rearrange the equation into the standard form, which is Ax + By = C, where A, B, and C are integers.

First, we calculate the slope using the given points:

m = (0 - 3) / (-2 - (-4)) = 3 / 2

Then, let's use the point-slope form with one of the points, say (-4,3):

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

Next, simplify and rearrange:

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

To get to standard form, multiply through by 2 to eliminate the fraction:

2y - 6 = 3x + 12

Finally, rearrange to get the standard form:

3x - 2y = -18