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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