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Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)

2 Answers

0 votes

Answer:

y = 3x - 16

Explanation:

Slope-Intercept Form: y = mx + b

Slope: 3

Points: (5, -1)

y = 3x + b

-1 = 3 ( 5 ) + b

-1 = 15 + b

b = -16

y = 3x - 16

User Antenka
by
5.6k points
6 votes

Answer:

y = 3x - 16

Explanation:

In this question, we have to write an equation in slope-intercept form with the given information.

Slope-intercept form: y = mx + b

We already know our slope: 3

However, we don't know what are y-intercept (b) is.

To find this, plug the given information in the equation and solve for b:

-1 = 3(5) + b

-1 = 15 + b

Subtract 15 from both sides.

-16 = b

This means that our y-intercept will be -16.

Now, plug in our new information to the equation:

y = 3x - 16

The equation y = 3x - 16 will be your answer.

User Francesco Florio
by
5.0k points