Help me with number three please
2 answers:
If you have a lot of these to do, it is convenient to use a spreadsheet or other method of doing the computation.
The 2-point form of the equation for a line applies.
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
From this, you can determine that
.. m = (y2 -y1)/(x2 -x1)
and
.. b = y1 -x1*(y2 -y1)/(x2 -x1)
a) m = 15, b = -8
b) m = -2.5, b = 8
c) m = -1, b = 10
d) m = 3/4, b = -10
The attached graph shows the computation of m and b. The first point of each set is shown in purple, the second point is shown in red. You can see the line goes through the required points.
The 2-point form of the equation for a line applies.
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
From this, you can determine that
.. m = (y2 -y1)/(x2 -x1)
and
.. b = y1 -x1*(y2 -y1)/(x2 -x1)
a) m = 15, b = -8
b) m = -2.5, b = 8
c) m = -1, b = 10
d) m = 3/4, b = -10
The attached graph shows the computation of m and b. The first point of each set is shown in purple, the second point is shown in red. You can see the line goes through the required points.
You might be interested in
Answer:
(,
) and (1, 8 )
Step-by-step explanation:
To find the points of intersection equate f(x) and g(x), that is
3x² + 5 = 4x + 4 ( subtract 4x + 4 from both sides )
3x² - 4x + 1 = 0 ← in standard form
(3x - 1)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
3x - 1 = 0 ⇒ 3x = 1 ⇒ x =
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 functions for corresponding y- coordinates.
Substituting into g(x), then
g(1) = 4(1) + 4 = 4 + 4 = 8 ⇒ (1, 8 )
g( ) =
+ 4 =
⇒ (
,
)