Using the slope formula, find the slope of the line through the points (0,0) and (5,10).

First, we need to find the slope of the line using slope formula*.

Slope of the line: 2

Second, we determine the y-intercept using the slope we just found, one of the given points, and slope-intercept form**.

Because b = 0, this means that the y-intercept is the origin, (0,0), so it is not written in the equation.

Finally, we create the equation of the line.

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6