What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10)

The line equation that passes through the given points is

SOLUTION:

Given, two points are A(-1, -2) and B(3, 10).

We need to find the line equation that passes through the given two points.  We know that, general equation of a line passing through two points is given by

This can be written as,

here, in our problem

Now substitute the values in (1)

Hence, the line equation that passes through the given points is

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step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

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