Question

HELP ME WITH THESE ANSWERS

Answer 1

Explanation:

I will be using the equation
`y=mx+b` for this explanation.

Graph 1:

- The equation for the positive slope is
`y=x-1`. The positive slope (m) has a slope of positive 1 (x), and intersects the y-axis at -1, creating the equation
`y=x-1`.

- The equation for the negative slope is
`y=-3x+3`. If you look, the first point is at (0,-3) with the next point being (1,0), which shows that the slope has a negative slope (m) of 3. The negative slope intersects at (0,3), giving us the b variable in the equation. Putting these values into the equation, we get
`y=-3x+3`.

Graph 2:

- The steeper of the two functions will have the equation
`y=2x-4`. The function has a positive slope (m) of
`(2)/(1)`, or simply 2, and intersects the y-axis (b) at (0,-4). Put these variables into the equation
`y=mx+b`, and you get
`y=2x-4`.

- The lower function will have the equation
`y=(1)/(2) x+2`. For every 1 square, the line moves up, it takes 2 squares to the right to get to the next point, which gives us the variable m of
`(1)/(2)`. This function intersects the y-axis at (0,2), which gives the variable b of +2.