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Lesechka [4]
2 years ago
9

Find an equation of the line perpendicular to y=4x+5 and that passes through the point (0,-1)

Mathematics
1 answer:
iragen [17]2 years ago
7 0

Answer:

y = -1/4x - 1.

Step-by-step explanation:

y = 4x + 5

The slope of this is 4 so the slope of line perpendicular to this line = -1/4.

Using the formula y - y1 = m(x - x1):

y - (-1) = -1/4(x - 0)

y + 1 = -1/4x

y = -1/4x - 1.

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I need help finding the domain and range!! -Algebra
statuscvo [17]

Answer:

  • The graph is shown below
  • Vertex = (2,1)
  • Axis of symmetry is x = 2
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  • Range = set of y values such that y \ge 1

=======================================================

Explanation:

Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.

The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.

------------

The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.

This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.

-------------

The axis of symmetry is the vertical line that passes through the vertex.

As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.

In the graph below, the axis of symmetry is the red dashed line.

-------------

There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.

Therefore, any x value is allowed and the domain is the set of all real numbers.

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The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger

Therefore, y \ge 1 is the range.

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Alexeev081 [22]

Answer:

yes

Step-by-step explanation:

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