a. To graph AB, plot the points (-1,4) and (2,6) and draw a line.
b. Graph CD with coordinates C(1,0) and D(4,2) and drawn.
c. The slope of AB is 2/3.
d. To graph CD, plot the points (1,0) and (4,2) and draw a line. The slope of CD is also 2/3. The lines AB and CD are parallel.
a. To graph line AB with coordinates A(-1,4) and B(2,6), we plot the points (-1,4) and (2,6) on a graph and then draw a straight line connecting the two points.
b. To find the slope of AB, we use the formula slope = (change in y)/(change in x).
The change in y is 6 - 4 = 2 and the change in x is 2 - (-1) = 3.
So, the slope of AB is 2/3.
c. To graph line CD with coordinates C(1,0) and D(4,2), we plot the points (1,0) and (4,2) on a graph and then draw a straight line connecting the two points.
d. To find the slope of CD, we use the same formula, slope = (change in y)/(change in x).
The change in y is 2 - 0 = 2 and the change in x is 4 - 1 = 3.
So, the slope of CD is 2/3.
Since the slopes of AB and CD are both 2/3 and equal, the lines are parallel.