Question

What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15

Answer 1

Answer:

• y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

Given line:

• 3x + 5y = 15

Converting into slope-intercept form:

• 3x + 5y = 15
• 5y = - 3x + 15
• y = -3/5x + 3

Parallel lines have the same slope, so the parallel line will be:

• y = -3/5x + b

Using given point (-5, -3) finding the y-intercept:

• -3 = -3/5(-5) + b
• -3 = 3 + b
• b = -3 - 3
• b = -6

So the line is:

• y = -3/5x - 6

Or converted into standard form:

• y = - 3/5x - 6
• 3/5x + y = -6
• 3x + 5y = -30