Question

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (6, 10). A small triangle has a rise of 5 and run of 3, and a larger triangle has a rise of 10 and run of 6. What is the equation of the line? y = 5 x y = 3 x y = three-fifths x y = five-thirds x

Answer 1

Answer:

y = (5/3)x

y = five-thirds x

Step-by-step explanation:

Slope = 10/6 = 5/3

Y-intercept = 0

y = (5/3)x

Answer 2

The value of the equation for y is five third of the x. Thus the option 4 is correct.

Given-

The points through which line passes (0, 0) and (6, 10).

The equation of the line

As we know the two points are (0, 0) and (6, 10).

Slope of the line,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{10-0}{6-0}$

$m=\dfrac{5}{3}$

Standard equation of the line is,

$y-y_1=m(x-x_1)$

Substitute the value of m and point (0,0)

$y-0=\dfrac{5}{3} (x-0)$

$y=\dfrac{5}{3} x$

Hence, The value of the equation for y is five third of the x. Thus the option 4 is correct.

For more about the equation of line follow the link below-

https://brainly.com/question/2564656