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Mathematics

2 answers:

sveta [45]3 years ago

4 0

Answer:

(- 4, 22 )

Step-by-step explanation:

To determine which point lies on the graph, substitute the x- coordinate of the point into the equation and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

(1, - 2 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 2 ← not on graph

(- 4, - 10 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ≠ - 10 ← not on graph

(- 4, 22 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ← lies on graph

(1, - 10 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 10 ← not on graph

Levart [38]3 years ago

3 0

Answer:

(-4,22)

Step-by-step explanation:

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Triss [41]

Answer:

(-10, 0) and (0,-5)

Step-by-step explanation:

For the function $f(x)=-\dfrac{1}{2}x-5,$ find x-intercept and y-intercept:

1. when y=0, then

$0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;$

2. when x=0, then

$y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.$

You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function $f(x)=-\dfrac{1}{2}x-5.$