Determine whether each statement below is true about the equation y=12x. Choose True or False for each statement.
The graph of the equation passes through the origin. True False
The y-intercept of the graph of the equation is 12. True False
As x increases by 1, y increases by 2. True False
The slope of the graph of the equation is 12. True False
Answer:
q = -5
q = 5
Step-by-step explanation:
Since there is no constant value. This must be a special case.
So,
(q+5)(q-5)
q = -5
q = 5
is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).
General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
<em>y-intercept is the point which line crosses at y-axis.</em>
In the given line, y-intercept is 4.
c = 4
Slope of the line:
Equation of the line:
y = mx + c
Hence is the equation best represents the line.
(x - 5)^2 = 9
(x - 5)(x - 5) = 9
x^2 - 10x + 25 = 9
x^2 - 10x + 25 - 9 = 0
x^2 - 10x + 16 = 0
(x - 8)(x - 2) = 0
x - 8 = 0
x = 8
x - 2 = 0
x = 2
solution : x = 8 and x = 2
-4m + 8m = -16
4m = -16
m = -16 / 4
m = -4