143k views
0 votes
What is the equation of the line that passes through the point (-5,4)(−5,4) and has a slope of 3/5?

1 Answer

11 votes

Answer: y = 3/5x + 7

Step-by-step explanation:

What we know:

  • The final equation will be in the form y=mx+b
  • The slope (m) is 3/5
  • The slope must go through the point (-5,4)

How to solve:

By substituting the point the slope passes through into slope-intercept form, we can calculate the y-intercept (b.) From here, we can use our slope and y-intercept values to set up the final equation.

Process:

Finding the y-intercept

Set up equation y = mx + b

Substitute 4 = 3/5(-5) + b

Simplify 4 = -3 + b

Simplify +3 +3

Solve 7 = b

Creating final equation

Set up equation y = mx + b

Substitute y = (3/5)x + 7

Answer: y = 3/5x + 7

Check:

If you graph this equation (a good tool to use is desmos graphing calculator,) then this equation creates a line that has a slope of 3/5 and passes through the point (-5,4)

What is the equation of the line that passes through the point (-5,4)(−5,4) and has-example-1
User Paul Grime
by
6.9k points