Question 115906
Start with the point slope form
{{{y-y[1]=m(x-x[1])}}}
{{{y-(-2)=7(x-1)}}}Substitute values for point and slope
{{{y+2=7(x-1)}}}
{{{y+2=7x-7}}}Distributive property
{{{y=7x-7-2}}}Subtract 2 from both sides
{{{highlight(y=7x-9)}}}Slope-intercept form
Check your answer to make sure you didn't make any mistakes.
{{{y=7x-9)}}}
{{{-2=7(1)-9)}}}
{{{-2=7-9)}}}
{{{-2=-2)}}}
True statement. 
No mistakes.