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stiks02 [169]
3 years ago
14

What is the slope of 4x+5y= -10

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

-\frac{4}{5}

Step-by-step explanation:

To find the slope, rearrange the equation to y=mx+b or y=mx+c.

4x+5y=-10

Subtract 4x from both sides:

5y=-10-4x

Divide 5 on both sides:

y=\frac{-10-4x}{5}

y=-\frac{4}{5} x-2

In the equation of y=mx+b/y=mx+c, m will be the slope.

Therefore, the slope is -\frac{4}{5}

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<h3><u>Explanation</u></h3>
  • Modulus Function

y = a |x  - h|  + k

The structure or equation is similar to a quadratic function.

The value of a determines the slope of graph.

Tthe value of h determines the horizontal shift of graph.

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From the given equation,

f(x) =  |x - 2|  - 7

We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).

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<u>\large{(2,-7)}</u>

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2 years ago
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