Question

I need help n explainnnn please ​

Answer 1

The Correct option is D). y=1x+1 And y=2x+2

Explanation:

The equation of a line is given as y=mx+c.

where m=slope of line and c=y intercept

The slope of line is given as m=
`((Y2-Y1))/((X2-X1))`

Solving for Redline:

From the given graph, redline passes through (-1,0) and (0,1)

The slope of Redline is m=
`((Y2-Y1))/((X2-X1))`

The slope of Redline is m=
`((1-0))/((0-(-1)))`

The slope of Redline is m=(1)

And Y-intercept is 1

The equation of a Redline is given as y=1x+1

Solving for Blue-line:

From the given graph, Blue-line passes through (-1,0) and (0,2)

The slope of Blue-line is m=
`((Y2-Y1))/((X2-X1))`

The slope of Blue-line is m=
`((2-0))/((0-(-1)))`

The slope of Blue-line is m=(2)

And Y-intercept is 2

The equation of a Blue-line is given as y=2x+2

The Correct option is D). y=1x+1 And y=2x+2