Question

Write an equation in slope-intercept form of the line parallel to the line y= -2x containing the point (3,7)

Answer 1

since the equation y = -2x, is in slope-intercept form already, we thus know it has an slope of -2, and any parallel line to that one, will have the same exact slope.

so we're looking for equation of a line whose slope is -2 and runs through 3,7.


`\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ 3 &,& 7~) \end{array} \\\\\\ % slope = m slope = m\implies -2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=-2(x-3) \\\\\\ y-7=-2x+6\implies y=-2x+13`