Answer:
the second option is the correct one
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m =
=
= ![\frac{6}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B11%7D)
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) =
(x - (- 4)), that is
y + 1 =
(x + 4)
Answer:
There are none.
Step-by-step explanation:
<u>No calculus involved:</u>
The line, in slope-intercept form, has equation
, ie is always decreasing (easy to spot applying the definition)
Meanwhile,
is always increasing over its domain.
At no point the tangent will be decreasing.
<u>Let's use calculus</u>
We are to solve the equation
which has no real solutions.
Answer:
No, the student's work is not correct.
Step-by-step explanation:
Given : Student expanded an expression, as shown.
![-6(4x-\frac{2}{13} )](https://tex.z-dn.net/?f=-6%284x-%5Cfrac%7B2%7D%7B13%7D%20%29)
![-6(4x)+6(-\frac{2}{13} )](https://tex.z-dn.net/?f=-6%284x%29%2B6%28-%5Cfrac%7B2%7D%7B13%7D%20%29)
![-24x-\frac{12}{13}](https://tex.z-dn.net/?f=-24x-%5Cfrac%7B12%7D%7B13%7D)
To find : Is the student's work correct?
Solution :
The expansion of student is not correct.
Follow the below steps to get correct solution and student mistake,
Step 1 - Write the expression,
![-6(4x-\frac{2}{13} )](https://tex.z-dn.net/?f=-6%284x-%5Cfrac%7B2%7D%7B13%7D%20%29)
Step 2 - Apply distributive property, ![a(b+c)=ab+ac](https://tex.z-dn.net/?f=a%28b%2Bc%29%3Dab%2Bac)
![=(-6)(4x)+(-6)(-\frac{2}{13})](https://tex.z-dn.net/?f=%3D%28-6%29%284x%29%2B%28-6%29%28-%5Cfrac%7B2%7D%7B13%7D%29)
Step 3 - Solve,
![=-24x+\frac{12}{13}](https://tex.z-dn.net/?f=%3D-24x%2B%5Cfrac%7B12%7D%7B13%7D)
The student was mistaken in step 2 in solving the sign.
Answer:
you plot the coordinates you have been given
Step-by-step explanation: