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Find the slope of the line that passes through the points (9, -2) and (4, 3)

User Navins
by
8.0k points

1 Answer

13 votes

Answer:

-1

Explanation:

Formula:
y=mx+b

Using two points:

Since we are given the
y and
x value, what is left is the
m and
b in the formula, which represent slope and the y-intercept.

Slope


m is slope

Formula:
(y_2-y_1)/(x_2-x_1)

Plug points:
(3-(-2))/(4-9)

Solve:
(5)/(-5)

Simplify:
\bold{m=-1}

Therefore, the slope is -1

Learn more:

y-intercept


b is the y-intercept

Plug one of the points and the slope into the formula, solve for b: (4, 3)


3=-1(4)+b


3=-4+b


3+4=-4+b+4


\bold{b=7}

User Jkiiski
by
7.3k points

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