Question 164863
First calculate the slope using the two points.
{{{m=(y[2]-y[1])/(x[2]-x[1])}}}
{{{m=(2-(-6))/(9-(-2))}}}
{{{m=(8)/(11)}}}
Now use the point-slope form of a line, using the slope and either of the points,
{{{y-y[p]=m(x-x[p])}}}
{{{y-2=(8/11)(x-9)}}}
Now change to slope-intercept form, {{{y=mx+b}}},
{{{y=(8/11)x-72/11+2}}}
{{{y=(8/11)x-72/11+22/11}}}
{{{y=(8/11)x-50/11}}}
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Plot the graph and verify it goes through the two points.
{{{drawing( 300, 300, -8, 10, -8, 10,grid( 1 ),circle( -2, -6, .25 ),circle( 9,2, .25 ),graph( 300, 300, -8,10, -8, 10, (8/11)x-50/11)) }}}