2 months ago

Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please

1 answer:

6 0

As you may realize, the equation y=-7/4x-2 is already formatted in slope-intercept form, which means that its slope is represented by the "x" coefficient, that is, -7/4.

Lines that are parallel share identical slopes, therefore a line parallel to this would also maintain a slope of -7/4, which would go through the point (4,2),

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad \qquad \qquad slope = m\implies -\cfrac{7}{4} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-\cfrac{7}{4}(x-4) \\\\\\ y-2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9$

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