Question

A line passes through the origin and (5, 3). Identify two additional points on this line.​

Answer 1

(10,6) and (-5, -3)

Explanation:

The slope of the line is given by rise/run between (0,0) and (5,3)
Rise = y2 - y1 = 3 - 0 = 3

Run = x2 - x1 = 5 - 0 = 5

Slope m 3/5

Slope intercept form of a line is

y = mx + b

where m is the slope and b is the y-intercept

Since the line passes through (0,0) the y-intercept is 0

So we get

`y = (3)/(5)x + 0 \\\\or\\\\y = (3)/(5)x`

This means for any x value, the corresponding y value should be 3/5th of that x value

Only the first and third choices have this requirement fulfilled