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SKIPPYTHEWALRUS U CAN'T ANSWER THIS QUESTIONI NEED CORRECT ANSWER 100 POINTS ONLY ANSWER CORRECTLY

A line passes through the points (7,9) and (10,1). What is its equation in point-slope form?


Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

User Rbedger
by
4.0k points

1 Answer

1 vote

Answer:

y - 1 = -8/3(x - 10)

also valid:

y - 9 = -8/3(x - 7)

Explanation:

Point-slope equation is a fill-in-the-blank formula that is sort of a shortcut for writing the equation of a line. Point-slope is named that bc you fill in a point and the slope.

Point-slope Eq:

y - Y = m(x - X)

fill in the slope for the m and fill in any point on the line for the X,Y.

First slope:

Slope is y-y over x-x

9-1 / 7-10

= 8/ -3

= -8/3

So slope is -8/3 fill that in for the m.

y -Y = -8/3(x-X)

Pick one of the points (either one it totally doesn't matter)

Let's use (10,1)

fill in 10 for X and 1 in place of Y.

the y in the very front stays a y and the first x in the parentheses stays an x, so there will be two variables in your completed answer.

y - 1 = -8/3(x - 10)

make sure the parentheses on the right is beside the -8/3 fraction and is NOT written on the bottom, beside the 3 only.

User Isuru Perera
by
4.4k points