A line passes through the point (2,-5) and is perpendicular to the line with the
1 answer:
Answer:
D) y = -5x + 5
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 1/5x + 5. Its slope is 1/5. A line parallel/perpendicular to this one will have a slope of -5.
Plug this value (#) into your standard point-slope equation of y = mx + b.
y = -5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -5). Plug in the x and y values into the x and y of the standard equation.
-5 = -5(2) + b
To find b, multiply the slope and the input of x (2)
-5 = -10 + b
Now, add 10 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -5x + 5
This equation is parallel/perpendicular to your given equation (y = 1/5x + 5) and contains point (2, -5)
Hope this helps!
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"Base raised to the power of exponent."
An example is given below;
In this example, 10 is the base and 3 is the EXPONENT.
The expression is now read out as,
"10 raised to the power of 3"
Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;
So basically, an exponent indicates the number of times a number is used to multiply itself.