SOLUTION: Which equation represents the line with a slope of -1/3 that passes through the point (8,8)?

Question 528574: Which equation represents the line with a slope of -1/3 that passes through the point (8,8)?
Answer by lmeeks54(111) (Show Source): You can put this solution on YOUR website!
The general equation for a straight line is:
y = mx + b
...
where m = the slope of the line and b = the y intercept (i.e., where x = 0)
...
Recall, slope = rise/run. Positive slope, the line goes up to the right (y gets larger as x gets larger). Negative slope, the line goes down to the right (y gets smaller as x gets larger).
...
We are given the slope of - 1/3. A slope = 1 is a 45 deg line. A slope > 1 is a steeper line and a slope <1 is a shallower (flatter) line. In this case, we have a shallow, negative slope (slanting down to the right).
...
None of that helps you determine the equation for the line, but it gives you the context for what you expect to find.
...
We know three useful things to help solve this problem:
...
y = mx + b
m = -1/3
line passes through 8, 8; therefore:
8 = -1/3(8) + b
...
add 1/3(8) to both sides so we can solve for b, the y intercept:
8 + 1/3 (8) = b
8 + 8/3 = b
10.67 = b
...
put it all together:
y = -0.33x + 10.67
...
cheers,
Lee
RELATED QUESTIONS
Which equation represents the line with slope -2 that passes through the point... (answered by Alan3354)

which equation represents the line with a slope of 7 that passes through the point... (answered by scott8148)

which equation represents the line that passes through the point (-6,2) and has a slope... (answered by jim_thompson5910)

Which equation represents a line that has a slope of -1 and passes through the point (-2, (answered by josgarithmetic)

Find the equation of the line that passes through the point (1 ,-8 ) with a slope of... (answered by Edwin McCravy)

Write the equation of the line that passes through point (1,-8) with a slope of... (answered by longjonsilver)

Write the equation of the line that passes through point (1, �8) with a slope of... (answered by josmiceli)

Write the equation of the line that passes through point (0, 7) with a slope of 8/3... (answered by Nate)

Oscar wants to write an equation of a line that passes through the point (2, �3) and... (answered by reviewermath)