Question

What is an equation of the line that passes through the points left bracket, 6, comma, 2, right bracket
(
6
,
2
)
(6,2) and left bracket, 8, comma, 0, right bracket
(
8
,
0
)
(8,0)?

Answer 1

To find the equation of the line passing through the points (6,2) and (8,0), we need to find the slope and then use the point-slope form or the slope-intercept form.

The slope (m) is given by the formula:

m = (y2 - y1) / (x2 - x1)

So, let's calculate the slope first:

m = (0 - 2) / (8 - 6)
m = -2 / 2
m = -1

Now that we have the slope, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Substituting in one of the given points (6,2):

y - 2 = -1(x - 6)
y - 2 = -x + 6
y = -x + 8

Therefore, the equation of the line passing through the points (6,2) and (8,0) is y = -x + 8.