Question 389591
Find the equation of a line passing through the point (7, -2) and having a slope {{{m = 8/7}}}.
Start with the slope-intercept form:
{{{y = mx+b}}} Substitute {{{m = 8/7}}}
{{{y = (8/7)x+b}}} Now find b by substituting for x and y the x- and y-coordinates of the given point (7, -2), thus:
{{{-2 = (8/7)(7)+b}}} Simplify this and solve for b.
{{{-2 = 8+b}}} Subtract 8 from both sides.
{{{-10 = b}}}
The final equation becomes:
{{{y = (8/7)x-10}}}
Here's the graph of the line:
{{{graph(400,400,-15,15,-14,15,(8/7)x-10)}}}