Get the equation to slope-intercept form: y = mx + b
6x + 3y = 6
Subtract 6x from both sides. This will give you 3y = -6x + 6.
Then, divide by 3 on both sides. This gives you y = -6x + 2.
2 is your y intercept and -6 is your slope.
Answer:
(x + 6)(x + 8)
Step-by-step explanation:
Consider the factors of the constant term (48 ) which sum to give the coefficient of the x- term (14 )
The factors are + 6 and + 8
since 6 × 8 = 48 and 6 + 8 = 14
x² + 14x + 48 = (x + 6)(x + 8) ← in factored form
-x^2+105x-1050=1550
We move all terms to the left:
-x^2+105x-1050-(1550)=0
We add all the numbers together, and all the variables
-1x^2+105x-2600=0
a = -1; b = 105; c = -2600;
Δ = b2-4ac
Δ = 1052-4·(-1)·(-2600)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span></span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span></span>
<span><span>Δ<span>−−</span>√</span>=<span>625<span>−−−</span>√</span>=25</span>
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)−25</span><span>2∗−1</span></span>=<span><span>−130</span><span>−2</span></span>=+65</span>
<span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)+25</span><span>2∗−1</span></span>=<span><span>−80</span><span>−2</span></span>=+40</span></span>
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
