What is the slope of the line that passes through the points (-20, 18) and (30, 14)?

1 answer:

7 0

Gradient =

Change in Y
———————
Change in X

Change in Y is 18 - 14 = 4
Change in X is -20 - 30 = -50

Therefore the gradient is 4/-50 which is then simplified to - (2/25)

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Kala has been offered two 40 hour a week jobs. One job pays an hourly wage of $25 and 10% of all sales. The other job pays $20 a

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What is the vertex of the graph y = x^2 + 6x - 5 ?

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Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.

The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.

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Then the vertex is (-3, -14).</span>

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A line passing (a,3) and (5,5) is perpendicular to a line passing through (0,0) and (1,a) Find the value of a.

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Answer:

a = -5

Step-by-step explanation:

(5 - 3)/(5 - a)

2/(5 - a)

perpendicular of 2/(5 - a) = -(5 - a)/2

(a - 0)/(1 - 0) = -(5 - a)/2

a/1 = -(5 - a)/2