Question 318845
Start at the y-intercept.
(0,2)
Plot it.
{{{drawing(300,300,-7,10,-5,12,circle(0,2,.4),grid(1),graph(300,300,-7,10,-5,12,0))}}}
The slope, {{{m}}}, is the change in y over the change in x.
{{{m=9/4}}}
So when x changes +4 units, y changes +9 units.
Starting at the y-intercept, find another point on the line:
x:{{{0+4=4}}}
y:{{{2+9=11}}}
(4,11)
Plot it.
{{{drawing(300,300,-7,10,-5,12,circle(0,2,.4), circle(4,11,.4),grid(1),graph(300,300,-7,10,-5,12,0))}}}
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Now connect the points with a line containing both points.
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.
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{{{drawing(300,300,-7,10,-5,12,circle(0,2,.4), circle(4,11,.4),grid(1),graph(300,300,-7,10,-5,12,(9/4)x+2))}}}