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Need to know the steps and how to work it out to get the correct anwser

Need to know the steps and how to work it out to get the correct anwser-example-1
User Brunno
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1 Answer

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\text{y = -x - 4}Step-by-step explanation:

Given equation:


\text{y = -x + 1}

For two lines to be parallel, the slope of one will be the same as the slope of the second line


\begin{gathered} u\sin g\text{ equation of line:} \\ y\text{ = mx + b} \\ m\text{ = slope, b = y-intercept} \end{gathered}

comparing the given equation with the equation of line:


\begin{gathered} y\text{ = y} \\ mx\text{ = -x = -1(x)} \\ m\text{ = -1} \\ b\text{ = 1} \end{gathered}

This means the slope of the 1st line is -1. The slope of the second line will also be -1 since they are parallel

To get the y-intercept of the second line, we would insert the slope and the point given:

point given: (-7, 3) = (x, y)


\begin{gathered} y\text{ = mx + b} \\ 3\text{ = -1(-7) + b} \\ 3\text{ = 7 + b} \\ 3\text{ - 7 = b} \\ b\text{ = -4} \\ y-\text{intercept of 2nd line = -4} \end{gathered}

The second equation is the equation of line that is parallel to the line y = -x + 1 and passes through (-7, 3)

Second equation:


\begin{gathered} y\text{ = mx + b} \\ y\text{ = -1(x) + (-4)} \\ y\text{ = -x - 4} \end{gathered}
\begin{gathered} In\text{ slope intercept form:} \\ y\text{ = -x - 4} \end{gathered}

User Deruse
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