Answer:
y=3x-10
Step-by-step explanation:
For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.
(y-y1)=m(x-x1)
(y-2)=3(x-4)
y-2=3x-12
y=3x-10
To check, you can plug the coordinates into the equation.
y=3x-10
(2)=3(4)-10
2=12-10
2=2
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Given:
x-coordinate of point = -2
y-coordinate of point = 5
Slope, or "m" = 1/5
Substitute in these values into slope-intercept formula (y = mx+b)
5 = 1/5(-2) + b
5 = -2/5 + b
25/5 = -2/5 + b
27/5 = b
Rewrite the equation:
y = 1/5x + 27/5
Graph the equation using a graphing utility:
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Answer:
you go to sleep at night is the correct answer