Answer:
m=13/7
Step-by-step explanation:
the equation for slope (m) is (y2-y1)/(x2-x1)
the given points are (0,5) and (-7,-8)
we can label them:
x1=0
y1=5
x2=-7
y2=-8
now substitute into the equation
m=(-8-5)/(-7-0)
m=-13/-7
m=13/7
the slope is 13/7
hope this helps!
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<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
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