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DENIUS [597]
2 years ago
15

Please help asap…………

Mathematics
1 answer:
finlep [7]2 years ago
4 0

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

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The answer you want would be A

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3 years ago
4x-2y&lt;-2<br><br>a) (2,8) b) (0,1) c) (3,7) d) (5,8)​
amm1812

Answer:

a) (2, 8)  

Step-by-step explanation:

The easiest way is to insert the coordinates into the inequality.

a) (2, 8)

\begin{array}{rcl}4(2) - 2(8) & < & -2\\8 - 16 & < & -2\\-8 &< & -2\\\end{array}\\\textbf{TRUE}

b) (0, 1)

\begin{array}{rcl}4(0) - 2(1) & < & -2\\0 - 2 & < & -2\\-2 &< & -2\\\end{array}\\\text{False}

c) (3, 7)

\begin{array}{rcl}4(3) - 2(7) & < & -2\\12 - 14 & < & -2\\-2 &< & -2\\\end{array}\\\text{False}

d) (5, 8)

\begin{array}{rcl}4(5) - 2(8) & < & -2\\20 - 16 & < & -2\\4 &< & -2\\\end{array}\\\text{False}

You could also plot the inequality and test the points. You would get a graph like the one below. Point (2, 8) is the only one that satisfies the inequality. Points (0, 1) and (3, 7) do not satisfy the inequality because they are on a dashed line.

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Answer:

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THESE ARE ALL CORRECT

Step-by-step explanation:

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