Slope point form : To put in slope point form, label any of the points as either X1,y1 and X and y, then plug in those values into the following equation form. Y - y1 = m(X-X1)
But before, we must solve for the m value or slope. M = y2-y1/x2-X1 M = 5/2 - -1/2 / -1/2 - 3/2. M = 5/2 + 1/2 / -(1/2+3/2) M = 6/2 / -(4/2) M = 3/-2
Now we can place it in slope point and also in standard form of a line.
Y-y1 = m(X -X1)
Y - -1/2 = -3/2(X - 3/2)
Y + 1/2 = -3/2(X - 3/2)
This is in slope point form.
Y + 1/2 = -3/2x + 9/4 Y + 1/2 - 1/2 = -3/2x + 9/4 - 1/2 1/2 = 2/4 Y = -3/2x + 7/4 -3/2x = -6/4x Y = -6/4x + 7/4 Y • 4 = 4( -6/4 X + 7/4) 4y = -6x + 7 4y + 6x = -6x + 6x +7
6x + 4y = 7
This is in standard form. If you have any questions of the steps just ask.