Question

Find the slope x intercept and y intercept of the line y equals 2x + 1​

Answer 1

(i) Slope is
`m=2`

(ii) x - intercept is
`\left(-(1)/(2), 0\right)`

(ii) y - intercept is
`(0,1)`

Step-by-step explanation:

The given equation is
`y=2x+1`

We need to determine the slope, x - intercept and the y - intercept

(i) Let us determine the slope of the equation.

Since, the equation is of the form
`y=mx+b` where m is the slope

Thus, comparing the equation
`y=2x+1` with the general form
`y=mx+b`, the slope is 2.

Thus, slope is
`m=2`

(ii) Now, we shall determine the x - intercepts.

The x - intercept can be determined by substituting
`y=0` in
`y=2x+1`

Thus, we have,

`0=2x+1`

`-1=2x`

`(-1)/(2) =x`

Thus, the x - intercept is
`\left(-(1)/(2), 0\right)`

(iii) The y - intercept can be determined by substituting
`x=0` in
`y=2x+1`

Thus, we get,

`y=2(0)+1`

`y=0+1`

`y=1`

Thus, the y - intercept is
`(0,1)`