Fine the line that is parellel toY= 2x +4 and passes through(-3,5)

1 answer:

7 0

To determine if a line is parallel to another, we need to find the slope of the given linear equation, since the parallel line is going to have the same slope.

The slope of a line m can be determined by first puting the linear equation into the slope-intercept form, which is

y = mx + b.

Given the equation as

y = 2x + 4, the slope is 2

However to solve for b, we can start by substituting for the values of y and x which are given as the coordinates of the point through which the line passes.

The given equation is;

$\begin{gathered} y=mx+b \\ y=2x+b \\ \text{Substitute for the values of x and y} \\ 5=2(-3)+b \\ 5=-6+b \\ 11=b \\ \text{Having calculated b as 11, we now have the parallel equation as;} \\ y=2x+11 \end{gathered}$

The line parallel to y = 2x + 4 is derived as

y = 2x + 11

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Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

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