Knowee
Questions
Features
Study Tools

Write the equation of a line that goes through the point ( 6 ,6 ) and is parallel to the line y = 1 / 3x - 4.

Question

Write the equation of a line that goes through the point ( 6 ,6 ) and is parallel to the line

y=13x4 y = \frac{1}{3}x - 4

🧐 Not the exact question you are looking for?Go ask a question

Solution

Step 1: Identify the slope of the given line The equation of the given line is in the form y = mx + c, where m is the slope. Here, m = 1/3.

Step 2: Use the slope of the parallel line Parallel lines have the same slope. So, the slope of the line we want to find is also 1/3.

Step 3: Use the point-slope form of a line The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. We know that our line passes through the point (6, 6) and has a slope of 1/3. Substituting these values in, we get:

y - 6 = 1/3(x - 6)

Step 4: Simplify the equation To simplify, distribute the 1/3 on the right side:

y - 6 = 1/3x - 2

Then, add 6 to both sides to solve for y:

y = 1/3x + 4

So, the equation of the line that goes through the point (6, 6) and is parallel to the line y = 1/3x - 4 is y = 1/3x + 4.

This problem has been solved

Similar Questions

Which equation represents a line which is parallel to the line 3, x, minus, y, equals, 63x−y=6?

Find the slope-intercept form of the line passing through the point (-3, -6) and parallel to the line y = 5x + 4.

Which equation represents a line which is parallel to the line y, equals, start fraction, 2, divided by, 3, end fraction, x, minus, 6y= 32​ x−6?

Write an equation in point-slope form for the line that passes through the given points.(4,−6), (6,−4)4,-6, 6,-4

A line has a slope of 6 and passes through the point (–3,–18). Write its equation in slope-intercept form.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.