Write in slope-intercept form the equation of the line passing through the given point and perpendicular to the given line.

Mathematics

1 answer:

Ksivusya [100]3 years ago

4 0

Answer:

y = x + 1

Step-by-step explanation:

First you find the slope of the first line using the rise over run method. Here you can see that the line goes up 1 and to the right one in order to reach the next point making the slope 1x or just x. Then you need to make it so that the line intercepts the point by changing the y intercept to 1 making the equation y = x + 1.

I hope this helped!!

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Which graph represents the function on the interval [-3,3] <br> F(x)=[x]-2

julia-pushkina [17]

<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

The most famous of the step functions is the greatest integer function, which is denoted by the parent function $[x]$ .

So, this function is defined as:

$f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x$ .

These are the characteristics of this function:

The domain of the function is the set of all real numbers.
The range of the function is the set of all integers.
The graph has a $y-intercept$ at $(0,0)$ and $x-intercept$ in the interval $[0,1)$
The graph is constant between each pair of consecutive integers.
The graph jumps vertically one unit at each integer value.

The function $F(x)=[x]-2$ represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.