Using Similar Triangles 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?

The ratio of the rise to the run in the smaller triangle is 2/3, and in the larger triangle is 5/7, and the equation of the line in slope-intercept form is y = (2/3)x + 3

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The ratio of the rise to the run in the smaller triangle = 2/3

Because rise = 2 and run = 3

The ratio of the rise to the run in the larger triangle = 5/7

Because rise = 5 and run = 7

The equation of the line in slope-intercept form is given by:

y = (2/3)x + c

Passes through (0, 3)

y = (2/3)x + 3

Thus, the ratio of the rise to the run in the smaller triangle is 2/3, and in the larger triangle is 5/7, and the equation of the line in slope-intercept form is y = (2/3)x + 3

Learn more about the similarity of triangles here:

brainly.com/question/8045819

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