Slope formula : (y2 - y1) / (x2 - x1)
(2,-2)....x1 = 2 and y1 = -2
(4,1)...x2 = 4 and y2 = 1
now we sub into the slope formula and solve for the slope
slope = (1 - (-2) / (4 - 2) = (1 + 2) / 2 = 3/2
now we use y = mx + b
slope(m) = 3/2
use either of ur points....(4,1)...x = 4 and y = 1
now sub into y = mx + b formula and find b, the y int
1 = 3/2(4) + b
1 = 6 + b
1 - 6 = b
-5 = b
so ur equation is : y = 3/2x - 5 <==




Taking "
" as common from first two terms and "
" from last two terms, we have

Taking the factor
as common,




I would use the equation
24 + 8x = 112
let x = the amount of CDs she bought.
Hope this helps!!
Answer:
When a graph has 2 x-intercepts, it will have positive discriminant & when a graph has NO x-intercepts, it will have negative discriminant.
Step-by-step explanation:
In a quadratic equation, the discriminant is the value of
. This is "under the square root sign" when solving using quadratic formula.
Thus, there can be 3 possibilities:
1. Discriminant is 0 ( 2 equal real roots - meaning 1 touching point at the x-axis in the graph)
2. Discriminant can be positive ( 2 distinct real roots - meaning 2 cutting point in the x axis)
3. Discriminant can be negative ( 2 complex roots - meaning NO cutting point in x-axis)
Thus, when a graph has 2 x-intercepts, it will have positive discriminant & when a graph has NO x-intercepts, it will have negative discriminant.