15.5k views
3 votes
What is the equation of the line that passes through the point (-4, 5) and has a
slope of -5?

User Jon Mabe
by
7.7k points

2 Answers

3 votes

Answer: y = -5x - 15

Step-by-step explanation:

What we know:

  • The line has a slope of -5
  • The line passes through (-4,5)
  • The formula for slope-intercept form is y=mx+b

How to solve:

By substituting the point and slope we know, we can solve for b (the y-intercept.) This will allow us to write the full equation, as we already know the slope.

Process:

Solving for B

Set up equation y = mx + b

Substitute 5 = -5(-4) + b

Simplify 5 = 20 + b

-20 -20

Solve -15 = b

Writing the Equation

Set up equation y = mx + b

Substitute y = -5x - 15

Solve y = -5x - 15

Answer: y = -5x - 15

Check:

We can check if our equation is right by graphing it. In this graph, you can see it has a slope of -5 and goes through the point (-4,5). Therefore, our answer is correct:

What is the equation of the line that passes through the point (-4, 5) and has a slope-example-1
User HermitCrab
by
7.8k points
6 votes
Answer:
y = -5x - 15

Step-by-step explanation:
5 = -5(-4) + b
5 = 20 + b
-15 = b

y = -5x - 15
User Ablopez
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories