Question 328325
Graph the points and draw the line between them,
{{{drawing(300,300,-5,5,-5,5,grid(1),circle(3,-2,.1),blue(line(-1,-2,3,-2)),blue(line(3,-2,3,0)),circle(3,0,.2),circle(-1,-2,.2),graph(300,300,-5,5,-5,5,(1/2)x-3/2))}}}
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You can read the slope from the line.
To go from one point to the other, move 4 units in the x, 2 units in the y.
Slope is change in y over change in x.
{{{m=2/4=1/2}}}
or you can solve it algebraically.
{{{m=(y2-y1)/(x2-x1)=(-2-0)/(-1-3)=-2/-4=1/2}}}
Then use the slope-intercept form of a line, {{{y=(1/2)x+b}}}
Use either point to solve for {{{b}}}.
{{{0=(1/2)(3)+b}}}
{{{b=-3/2}}}
{{{highlight(y=(1/2)x-3/2)}}}