A is the answer to your question
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:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2 gives the next term.
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22 can go into 30 only once with a remainder of 7
Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
