Question

What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Show all necessary steps.

Answer 1

The equation of the line is y = -x + 6 if the passes through the point (4, 2).

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

From the graph:

The slope of the line g = (0-5)/(-5-0)

= 1

The slope perpendicular to the line g:

= -1

y - 2 = -(x - 4)

y - 2 = -x + 4

y = -x + 6

Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).

Learn more about the straight line here:

brainly.com/question/3493733

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