Question

Which of the following is the correct point-slope equation for the line that passes through the point (5,-6) and is parallel to the line given by y= -10x+ 3?

A. y+6= -10 (x-5)
B. y-6=-10(x-5)
C. y-60=-10 (x-5)
D. y-60=-4x-5

Answer 1

bearing in mind that parallel lines have the same exact slope, hmmm what is the slope of y = -10x + 3 anyway?

`\bf y=\stackrel{\downarrow }{-10}x+3\qquad \impliedby \begin{array}c \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill`

`\bf \begin{array} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies (\stackrel{x}{5},\stackrel{y}{-6})~\hfill \begin{array}{llll} y-(-6)=-10(x-5) \\\\\\ y+6=-10(x-5) \end{array}`

Answer 2

The answer to this question is D