Question

How do you find the slope and intercept to graph `2x-y= 1`?

Answer 1

`"see explanation"`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+c`

`"where m is the slope and c the y-intercept"`

`"rearrange "2x-y=1" into this form"`

`y=2x-1`

`"with slope "=2" and y-intercept "=-1`

`"Plot the point "(0,-1)`

`"from this point move 2 units vertically and 1 unit to"`
`"the right"`

`(0,-1)to(1,1)`

`"repeat this from the point "(1,1)`

`(0,-1)to(1,1)to(2,3)`

`"Plot these points and draw a straight line through them"`
graph{(y-2x+1)((x-0)^2+(y+1)^2-0.04)((x-1)^2+(y-1)^2-0.04)((x-2)^2+(y-3)^2-0.04)=0 [-10, 10, -5, 5]}