Question

A line has a slope of 3/2. It passes through the point (4,5). Give the coordinates of three other points on this line

Answer 1

Well...The slop is the (Rise/Run) which means (change in y direction / change in x direction)....

Now, imagine if you catch the tip of the line and you move 3 steps in
y-direction..then you move 2 steps in the x-direction...this is what the slop means....

now the question gives you the point (4,5)=4(x coordinate) & 5(y coordinate)
so draw the x-y axis then
-put the point 4,5 on the graph
-move by the slop value (3 steps in y) then (2 steps in x)
-repeat this 3 times and every time ,record the (x,y) values that you get.