Question

Which equation represents a line passing through the point (8,33) with a slope of 3?

Answer 1

The slope intercept form of equation of required line is y = 3x + 9

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  $\theta$ is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  $tan\theta$

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope = 3

The line passes through (8, 33)

Equation of required line

y - 33 = 3(x - 8)

y - 33 = 3x - 24

y = 3x - 24 + 33

y = 3x + 9

To learn more about equation of line in slope intercept form, refer to the link:

brainly.com/question/25514153

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