What is the slope of the line described by the equation below?
Y - 5= -3(x - 17)
2 answers:
Hello there!
To find the slope, we must first put this equation in y = mx + b form (also known as slope intercept form)
First, let's solve the right side using the distributive property.
To do this, we will multiply -3 by both x and -17
-3 * x = -3x
-3 * -17 = 51 (a negative times a negative equals a positive)
So, now we have: y - 5 = -3x + 51
Now we must get rid of the -5 on the right side.
To do this, we will add -5 to both sides
y - 5 + 5 = -3x + 51 + 5
Now we have y = -3x + 56
Now, we know the slope is -3
I hope my answer helped you out!
~ Fire
First distribute -3 to both x and -17
-3(x) = -3x
-3(-17) = 51
y - 5 = -3x + 51
isolate the y, add 5 to both sides
y - 5 (+5) = -3x + 51 (+5)
add all numbers with same variables together
y = -3x + 51 + 5
y = -3x + 56
inside the slope intercept form:
y = y
m = slope
x = x
b = intercept.
y = mx + b (using this equation, we can see that -3 = m)
-3 is slope, and is your answer
hope this helps
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