Find the equation of the line that passes through (0, 0) and has a slope of 5.

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Question: Find the equation of the line that passes through (0, 0) and has a slope of 5.

Options:

Correct Answer: y = 5x

Solution:

Using the slope-intercept form y = mx + b, with m = 5 and b = 0, we get y = 5x.

Find the equation of the line that passes through (0, 0) and has a slope of 5.

Find the equation of the line that passes through (0, 0) and has a slope of 5.

Step 1: Understand that the slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
Step 2: Identify the slope (m) from the question. The slope is given as 5.
Step 3: Identify the y-intercept (b). Since the line passes through the point (0, 0), the y-intercept is 0.
Step 4: Substitute the values of m and b into the slope-intercept form. This gives us y = 5x + 0.
Step 5: Simplify the equation. Since adding 0 does not change the equation, we can write it as y = 5x.

Slope-Intercept Form – The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.
Identifying Slope and Intercept – Understanding how to extract the slope and y-intercept from given information.