Question: What is the equation of the line that passes through the origin and has a slope of -5?
Options:
y = -5x
y = 5x
y = -x/5
y = 5/x
Correct Answer: y = -5x
Solution:
The equation of a line through the origin with slope m is y = mx. Thus, y = -5x.
What is the equation of the line that passes through the origin and has a slope
Practice Questions
Q1
What is the equation of the line that passes through the origin and has a slope of -5?
y = -5x
y = 5x
y = -x/5
y = 5/x
Questions & Step-by-Step Solutions
What is the equation of the line that passes through the origin and has a slope of -5?
Step 1: Understand that the origin is the point (0, 0) on a graph.
Step 2: Know that the slope of a line tells us how steep the line is. A slope of -5 means that for every 1 unit you move to the right, the line goes down 5 units.
Step 3: Recall the formula for the equation of a line that passes through the origin, which is y = mx, where m is the slope.
Step 4: Substitute the given slope (-5) into the formula. So, it becomes y = -5x.
Step 5: Write down the final equation: y = -5x.
No concepts available.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
