Question

Write the equation of a line in slope intercept form that is parallel to the line passing through (-6,2) And (-4,-3) but passes through (2,-5) then graph the line

Answer 1

The linear equation that has the desired characteristics is given by:

y = -2.5x.

The graph is given at the end of this question.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

If two lines are parallel, they have the same slope, which is given by change in y divided by change in x, hence:

m = (-3 - 2)/(-4 - (-6)) = -5/2 = -2.5.

Hence:

y = -2.5x + b.

The line also passes through (2,-5), that is, when x = 2, y = -5, hence we use it to find b.

-5 = -2.5(2) + b

b = 0.

Hence the equation is:

y = -2.5x.

The graph is given at the end of this question.

More can be learned about linear equations at https://brainly.com/question/24808124

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