Question

The line y=2x-1 meets the y-axis at B and the line y=5,at C. Calculate the coordinates of B and C?

Answer 1

`B=(0,-1)" and "C=(3,5)`

Explanation:

`"to find where the line crosses the y-axis let x = 0"`
`"in the equation"`

`rArry=0-1=-1rArrB=(0,-1)`

`"to find where the line intersects with "y=5`

`"let y = 5 in the equation and solve for x"`

`rArr2x-1=5`

`"add 1 to both sides"`

`rArr2x=6`

`"divide both sides by 2"`

`rArrx=3rArrC=(3,5)`
graph{(y-2x+1)(y-0.001x-5)=0 [-12.66, 12.65, -6.33, 6.33]}