MATH SOLVE

6 months ago

Q:
# the slope of the line that passes through the points (-6,w) and (-10,4) is 1/8. what is the value of w

Accepted Solution

A:

Use the point-slope formula for the eqn of a str line:

y-k = m(x-h), where (h,k) is any point on the line.

Suppose we first focus on the given point (-10,4). Let (h,k) = (-10,4).

Then y-k = m(x-h) becomes y-4 = m(x-[-10])

The other point is (-6,w), where w is the unknown we must determine.

w-4 = (1/8)(-6+10). Find w:

Mult both sides by 8 to remove the fraction 1/8:

8w-32 = -6 + 10 = 4. Then 8w = 32+4 = 36. w = 36/8 = 4.5, or 9/2 (ans.)

y-k = m(x-h), where (h,k) is any point on the line.

Suppose we first focus on the given point (-10,4). Let (h,k) = (-10,4).

Then y-k = m(x-h) becomes y-4 = m(x-[-10])

The other point is (-6,w), where w is the unknown we must determine.

w-4 = (1/8)(-6+10). Find w:

Mult both sides by 8 to remove the fraction 1/8:

8w-32 = -6 + 10 = 4. Then 8w = 32+4 = 36. w = 36/8 = 4.5, or 9/2 (ans.)