Question

Line t passes through 4,5 an is perpendicular to the line shown on the coordinate grid. What is the equation of line T in standard form?

Answer 1

The linear equation that defines line T, in standard form, is given by:

7x + y = 33.

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.

When two lines are perpendicular, the multiplication of their slopes is -1. Researching the problem on the internet, it is found that the line on the coordinate grid has a slope of 1/7, hence:

$\frac{1}{7}m = -1$

m = -7.

Then:

y = -7x + b.

The line goes through (4,5), hence:

5 = -7(4) + b

b = 33.

Thus the equation is:

y = -7x + 33.

In standard form:

7x + y = 33.

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

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