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Fed [463]
3 years ago
6

What is the slope of a line that passes through the points (0, 1) and (2, 6)?

Mathematics
2 answers:
sladkih [1.3K]3 years ago
6 0

Answer:

m=5/2

Step-by-step explanation:

We know that,

Slope\ (m)=\frac{Rise}{Run}\\Slope\ (m)=\frac{y_2-y_1}{x_2-x_1}  \\As here,\\x_1=0, x_2=2\\y_1=1, y_2=6\\Hence,\\Slope(m)\ of\ the\ following\ line\ =\frac{6-1}{2}  =2.5

DerKrebs [107]3 years ago
4 0

Answer:

\boxed {\boxed {\sf m=\frac{5}{2}}}

Step-by-step explanation:

The slope formula is the change in y over the change in x, or:

m=\frac{y_2-y_1}{x_2-x_1}

Where (x₁,y₁) and (x₂, y₂) are the points the line passes through.

The points given are (0,1) and (2,6). Therefore:

x_1=0\\y_1=1\\x_2=2\\y_2=6

Substitute the values into the formula.

m=\frac{6-1}{2-0}

Solve the numerator.

m=\frac{5}{2-0}

Solve the denominator.

m=\frac{5}{2}

This fraction can not be simplified further, so it is our answer.

The slope of the line is 5/2

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