Consider the equation y= -2x -3.

Mathematics

1 answer:

Alona [7]3 years ago

7 0

Part A

The graph is shown below as an attached image.

The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)

I'm using GeoGebra to graph the line.

side note: (0, -3) is the y intercept which is where the graph crosses the y axis.

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Part B

Answer is choice 2

The graph can be written in the form y = mx+b, so it is linear

In this case, m = -2 is the slope and b = -3 is the y intercept

We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.

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Write an equation for a line perpendicular to y = -5x – 4 and passing through the point (15,5)

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The equation for the line in point-slope form that passes through (15, 5) and is perpendicular to $y = -5x - 4$ is $\mathbf{y -5 = \frac{1}{5} (x - 15)}$

Recall:

The equation of the line can be written in point-slope form (y - b = m(x - a)) and also in slope-intercept form (y = mx + b).

Given:

the point the line passes through: (15, 5)
the line it is perpendicular to: y = -5x - 4

Find the slope (m):

The slope value will be the negative reciprocal of the slope value of y = -5x - 4.

The slope of y = -5x - 4 is -5.

Therefore, the slope of the line perpendicular to y = -5x - 4 will be the negative reciprocal of -5 which is: 1/2.

Write the equation in point-slope form by substituting m = 1/2 and (a, b) = (15, 5) into y - b = m(x - a)

Thus:

$y -5 = \frac{1}{5} (x - 15)$

Therefore, the equation for the line that passes through (15, 5) and is perpendicular to $y = -5x - 4$ is $\mathbf{y -5 = \frac{1}{5} (x - 15)}$

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The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08(55h) + 55h, where h represents the n

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Answer:

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