Find 2 coordinates on the graph : (0, -20) and (10, 10)
Slope = (10 - (-20) ) / (10 - 0) = 30/10 = 3
Slope = 3
y-intercept = (0, - 20)
Equation : y = 3x - 20
Since the right hand side is shaded, the equation is y > 3x - 20.
Answer:
7/10 and 7/8 are both less than 1.
Step-by-step explanation:
The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.
Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
A scale factor of 4. This is a simple dilation problem.
Answer:
-4
Step-by-step explanation:
Slope = y2 - y1/x2 - x1
Given
x1 = 6
y1 = 2
x2 = 4
y2 = 10
Therefore
Slope = 10 - 2/4 - 6
= 8/-2
= -4
