Question

Which equation represents the line through (0,0) and (3,4)? a. y=3/4x b.y=4/3x c.y=4x d.y=3x

Answer 1

Answer:

b

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )

m = $\frac{4-0}{3-0}$ = $\frac{4}{3}$

y = $\frac{4}{3}$ x → b