which equation represents the line that passes through the points (6, 3) and (-4, -9)?

Answer 1

To find the equation of the line passing through two points, you can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.

First, let's find the slope (m) of the line passing through the points (6, 3) and (-4, -9):

m = (y2 - y1) / (x2 - x1)
m = (-9 - 3) / (-4 - 6)
m = -12 / -10
m = 6/5

Now that we have the slope (6/5), we can find the y-intercept (b) by substituting one of the points into the slope-intercept form:

3 = (6/5)(6) + b
3 = 36/5 + b
b = 3 - 36/5
b = 15/5 - 36/5
b = -21/5

Therefore, the equation of the line passing through the points (6, 3) and (-4, -9) is y = (6/5)x - 21/5.