Question 70118
For what value of k does the line kx+7y=10 have a slope of 3
The slope intercept form of a line is {{{highlight(y=mx+b)}}}, where m=slope.
{{{kx+7y=10}}}
{{{kx-kx+7y=-kx+10}}}
{{{7y=-kx+10}}}
{{{7y/7=-kx/7+10/7}}}
{{{y=(-k/7)x+10/7}}}  The slope is m=-k/7 we want it to = 3
{{{-k/7=3}}}
{{{-7(-k/7)=-7(3)}}}
{{{highlight(k=-21)}}}
Happy Calculating!!!