Question 714997
When the equation of the line starts with y= on one side, the equation is in the unique slope-intercept from, and the number multiplied times x is the slope.
{{{y= 17x}}} in the slope-intercept form and the slope is {{{17}}} .
Parallel lines have the same slope.
Based on point (2,-7), the equation of the line with slope {{{17}}} and passing through that point can be written in point-slope form as
{{{y-(-7)=17(x-2)}}} --> {{{y+7=17(x-2)}}}
The equation can be transformed into the slope-intercept form
{{{y+7=17(x-2)}}} --> {{{y+7=17x-34)}}} --> {{{y=17x-34-7}}} --> {{{y=17x-41}}}