Algebra 2 Question Help

Question

Write the equation of a line parallel to the line 2x - 5y = 10 with a y-intercept of (0,-1). Write your answer in standard form.
Follow the steps below.

Step 1. Write the equation of the given line in slope-intercept form and determine its slope.
equation:      
slope:      



Step 2. Use the slope of the given line to determine the slope needed to write the equation of a parallel line and write a short paragraph explaining how you determined the slope of the parallel line.
slope needed for parallel line:      
Reason:      


Step 3. Write the equation of the parallel line in slope-intercept form and then write the equation in standard form.
slope-intercept form:      
standard form:

Answer 1

Step 1: 

2x - 5y = 10

       -5y = -2x + 10

          y = (2/5)x - 2

Our slope is 2/5.

 

Step 2:

The slopes of parallel lines are equal, so our slope is 2/5.

 

Step 3:

Since our y-intercept is -1, our equation in slope intercept form is y = (2/5)x - 1. For standard form, we need the x on the other side. (-2/5)x + y = -1.

 

Hope this helps!