Question

The equation of the straight line that passes through the points (0,0) and (1,4) is,

a) y = 3x + 2
b) y = -x + 4
c) y = -4x + 2
d) y = 4x

Answer 1

D

Explanation:

Please refer to picture attached.

The best method to deduce if the graph passes through the points mentioned, just substitute the values of x from the point into the equation to deduce if the y value is the same as the value in the point.

Answer 2

d

Explanation:

The equation of a line which passes through the origin is

y = mx ( where m is the slope )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 4)

m =
`(4-0)/(1-0)` = 4 , thus

y = 4x → d