Answer:
Slope= m = Δy/Δx = (y₂-y₁)/(x₂-x₁) = rise / run
Step-by-step explanation:
Hope that helps . Just plug in your values if you are given two points
for example: (3,4) = (x₂,y₂) (1,2) = (x₁,y₁)
Just substitute in the equation above
(4-2)/(3-1) = 2/2 =1
good luck
Answer:

Step-by-step explanation:
Distribute the
, we get:

Combines like-terms, meaning we combine the numbers with v.

Answer:
The vertex for parabola y²=4ax is (0,0)
and for (y-k) ²= 4a(x+h), vertex is (h, k).
But you have not given the equation of parabola in the equation.
The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:

so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form

and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
Answer:
-25/16
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-68)/(54-6)
m=-75/48
m=-25/16