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Nataly [62]
3 years ago
6

What is the slope of the line with an equation of 5x + 8y = 16? -8/5 -5/8 5/8 8/5

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

Slope m = -5/8

Step-by-step explanation:

5x + 8y = 16

Making y as subject of formula

8y = -5x + 16

Dividing each term by 8

8y/8 = -5x/8 + 16/8

y = -5x/8 + 2

Comparing with y = mx + c

Where m = slope and c the y intercept

Slope m = -5/8

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Answer:

Second option: (-2,-3) and (1,0)

Step-by-step explanation:

Given the system of equations \left \{ {{y = x^2 + 2x-3} \atop {y = x - 1}} \right., you can rewrite them in this form:

x^2 + 2x-3= x - 1

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x^2 + 2x-3-x+1=0\\\\x^2+x-2=0

Factor the quadratic equation. Choose two number whose sum be 1 and whose product be -2. These are: 2 and -1, then:

(x+2)(x-1)=0\\\\x_1=-2\\\\x_2=1

Substitute each value of "x"  into any of the original equation to find the values of "y":

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Then, the solutions are:

(-2,-3) and (1,0)

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Answer:

1

Step-by-step explanation:

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