213,647 views
12 votes
12 votes
What is an equation of the line that passes through the points (0,0) and (5,2)

User Not Sleeping
by
2.8k points

1 Answer

19 votes
19 votes

Answer (assuming it can be in slope-intercept form):


image

Explanation:

1) First, find the slope of the line using the slope formula,
image. Substitute the x and y values of (0,0) and (5,2) into the formula and simplify like so:


image

So, the slope is
image.

2) Now, use the point-slope formula to write the equation of the line. Using the point-slope formula
image, substitute values for
image,
image, and
image.

Since
image represents the slope, substitute
image in its place. Since
image and
image represent the x and y values of a point the line intersects, we can substitute the x and y values of one of the given points (I chose (0,0)) into the formula as well. Then, isolate y to put in slope-intercept form:


image

User Icats
by
2.7k points