Answer:
y = -8x
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is -8.
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
16 = -8(-2) + b
Let's simplify this to find b.
[multiply] 16 = 16 + b
[subtract 16] 0 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = -8x
This is your equation.
Check this by plugging in the point again.
16 = -8(-2)
[multiply] 16 = 16
This expression is true; therefore, your answer is correct.
Hope this helps!
Answer:
x + 9
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 5 -36
↓ 4 36
----------------
1 9 0 → x + 9
You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em><em>,</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have NO REMAINDER. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, and the 9 follows right behind it, giving you the other factor of x + 9.
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Answer:
B)Oy+ 3 = 4(x - 1)
Equation of the straight line y +3 = 4( x-1)
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<u><em>Step(i):-</em></u>
Given that the equation y = 4x +2
and given that the point (1,-3)
The equation of the parallel line to the given line
ax +by +k=0
4x-y +k=0
This line is passing through the point (1,-3)
⇒ 4(1) -(-3) +k=0
⇒ 4+3 +k=0
7 +k=0
k =-7
The equation of the Parallel line 4x-y -7 = 0
<u><em>Step(ii):-</em></u>
Given that the slope m = 4 and the point (1,-3)
Equation of the straight line
y - y₁ = m(x-x₁)
y -(-3) = 4( x-1)
y +3 = 4( x-1)
