Question

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?

Answer 1

Answer:

first one 2/3 second one (y-3)/x third one y=(2/3)x+3

Step-by-step explanation:

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Answer 2

The required 1) ratio of rise to run for smaller triangle is = 2/3
                   2) ratio of rise to run for larger triangle is = y-3/x
                   3) equation of the line in slope intercept form  y = 2/3x+3.

What is line?

line, is curve showing the shortest distance between 2 points.

Here,
1) ratio of rise to run for smaller triangle is = 2/3.

2) ratio of rise to run for larger triangle is = y-3/x since rise on y axis is y-3

3) equation of the line in slope intercept form,

slope given m =2/3, and intercept from graph c = +3.
Standard form of line y = mx + c, (putting value of m and c )
y = 2/3x+3.

Thus, Required solution are for  1) 2/3 , 2)  y-3/x and 3)  y = 2/3x+3.

learn more about lines here:

brainly.com/question/2696693

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