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Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4
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Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

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User Moyshe
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1 Answer

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well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well


\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ 2}}\quad ,&{{ -1}})\quad \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4} \\\\\\ % point-slope intercept y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=-1\\ x_1=2\\ m=(3)/(4) \end{cases}\\ \textit{and move everything}\\ \textit{to the left-hand-side} \end{array}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}
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User Maghoumi
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