Answer:
(0, -2)
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-3y = 6 - 2x
y = -2 - 2/3x
Step 2: Find y-int
y = -2 -2/3(0)
y = -2
(0, -2)
Answer:
f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. Some say f (x) = ax2 + bx + c is "standard form", while others say that f (x) = a(x - h)2 + k is "standard form".
Step-by-step explanation:
Answer:
$4.19
Step-by-step explanation:
Let number of adult tickets be a , therefore number of student ticket be a+4 .
And total cost of the tickets is 58, that is
Distributing 2.50 on a+4
Combining like terms
Number of adult tickets are 8 and number of students tickets are 12.
Answer:
y = -6x - 5
Step-by-step explanation:
To find the equation using the point-slope equation, we need the slope and the y-intercept of the line
<u>Finding the slope of the line:</u>
We will calculate the slope between these 2 points: (-1 , 1) and (0 , -5)
Slope = Rise / Run
Rise of the line = y1 - y2
Rise = 1 - (-5)
Rise = 1 + 5
Rise = 6
Run of the line = x1 - x2
Run = -1 - 0
Run = -1
Slope of the line:
<em>Slope = Rise / Run</em>
<em>Slope = 6 / -1</em>
<u>Slope = -6 </u>
<u></u>
<u>Finding the y-intercept:</u>
y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis
From the graph, we can see that the line intersects the y-axis at (0 , -5)
y-coordinate of the point = -5
<u>y-intercept = -5</u>
<u></u>
<u>Equation of the line:</u>
This is the general formula of the slope-intercept:
y = mx + b (where m is the slope of the line and b is the y-intercept )
Replacing the variables
y = (-6)x + (-5)
y = -6x - 5
