<span>y=1/2x-3 1) the slope of this line equation is m=(1/2) 2) the coordinates of the y intercept are for x=0 y=-3 point (0,-3) 3)</span>the coordinates of the x intercept are for y=0 0=(1/2)x-3------> (1/2)x=3----> x=6 point (6,0)
<span>if the line is dilated by a factor of 3 then </span>y=1/2x-3--------> 3y=3*[1/2x-3]-----> 3y=(3/2)x-9 3y=(3x-18)/2-------> y=(3x-18)/6--------> y=(3/6)x-18/6
y=(3/6)x-18/6 so 1) the slope of this line equation is m=(3/6)-----> 3/6=1/2 2) the coordinates of the y intercept are for x=0 y=-18/6-------> y=-3 point (0,-3) 3)the coordinates of the x intercept are for y=0 0=(3/6)x-18/6------> (3/6)x=18/6----> x=18/3------> x=6 point (6,0)
therefore the equation of the line y=1/2x-3 is the same that the equation of the line y=(3/6)x-18/6
<span>the equation does not change because the slope and the x and y intercepts do not change either</span>
