The solutions are given below:
1. 3y- 9 = 2x
2. 2/3.
3. y/x
4. y = (2/3)x + 3
<h3>What is equation of line?</h3>
The equation of a line with one given point (x1, y1) is (y - y1) = m(x - x1). Here m is the slope of the line.
The complete question is:
On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A larger triangle has a rise of 5 and run of 7.
Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3).
What is the ratio of the rise to the run in the smaller triangle in the diagram?
What is the ratio of the rise to the run in the larger triangle in the diagram?
What is the equation of the line in slope-intercept form?
1. slope= 2/3
coordinates= (0, 3)
y-y1 = m(x-x1)
y-3 = 2/3(x-0)
y-3 = 2/3x
3y- 9 = 2x
2. The ratio of the rise to the run in the smaller triangle in the diagram
is y/x = 2/3
3. The ratio of the rise to the run in the larger triangle = y/x
4. The equation of the line in slope-intercept form is given by:
y = (2/3)x + 3
Learn more about this concept here:
brainly.com/question/15799501
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