Question

HELP PLEASE I DONT GET THIS!!!!!!!

Answer 1

A

Explanation:

the equation of a straight line passing through the origin is

y = mx ( where m is the slope )

calculate slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 10 ) ← 2 points on the line

m =
`(10-0)/(2-0)` =
`(10)/(2)` = 5

y = 5x ← is the equation of the line

Answer 2

y = 5x

Explanation:

Find the slope of the line

Take the point where y = 20 and x = 4 . That is the point (4, 20)

Slope = rise / run = y / x = 20 / 4 = 5

Also the graph passes through (0,0)

So if we use the general slope/intercept form

y = mx + c

m = 5 and c = 0

so the equation of the line is y = 5x + 0

y = 5x