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3 years ago

5: What is the equation of the line parallel to x = 7, passing through the point (-4, 1)?

Mathematics

1 answer:

Tamiku [17]3 years ago

8 0

Answer:

The correct option is: A. X= -4

Step-by-step explanation:

The equation of the given line is: $x=7$

As the given line is a vertical line parallel to y-axis, that means the slope of the line is 'undefined' or $\frac{k}{0}$ , where $k$ is any real number.

Now, the slope of the line which is parallel to the given line will be also $\frac{k}{0}$ , as the slopes of parallel lines are always equal.

The parallel line is passing through the point (-4, 1). So, using point-slope form.......

$y-y_{1}= m(x-x_{1})\\ \\ y-1=\frac{k}{0}(x-(-4))\\ \\k(x+4)=0\\ \\ x+4=0\\ \\ x=-4$

Thus, the equation of the parallel line will be: $x=-4$

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Answer:

factorize form of the equation is $24(x-1)=0$ , where $x=1$

Step-by-step explanation:

Given Equation:

$3x + 21x-24=0$

Adding the terms of 'x' and taking constants on the other side.

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The sign of the constant will change on changing the side of it.

$24x=24$

$x=\frac{24}{24}$

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The factorized form of the equation can be made by taking the common value from the equation i.e

$24x-24=0\\$

$24(x-1)=0$

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This answer almost coincide with option C. I suppose there was a mistype.

Step-by-step explanation:

The system of equations is formed by:

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In the picture attached, the solution set is shown.

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4 years ago

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