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valina [46]
1 year ago
13

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

Mathematics
1 answer:
Soloha48 [4]1 year ago
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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Find the selling price is a store pays $12 for a book and the markup is 25%.
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What is 2x - 3 = -x + 3
BARSIC [14]
<span>Simplifying 2x + -3 = -1x + 3
 Reorder the terms: -3 + 2x = -1x + 3
 Reorder the terms: -3 + 2x = 3 + -1x Solving -3 + 2x = 3 + -1x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right. Add 'x' to each side  of the equation. -3 + 2x + x = 3 + -1x + x
 Combine like terms: 2x + x = 3x -3 + 3x = 3 + -1x + x
 Combine like terms: -1x + x = 0 -3 + 3x = 3 + 0 -3 + 3x = 3
 Add '3' to each side of the equation. -3 + 3 + 3x = 3 + 3
 Combine like terms: -3 + 3 = 0 0 + 3x = 3 + 3 3x = 3 + 3
 Combine like terms: 3 + 3 = 6 3x = 6
 Divide each side by '3'. x = 2
 Simplifying x = 2

answer x=2

Hope I Helped:D</span>
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