Graph the line with slope -1/2 passing through the point (-3,4).

Question

Graph the line with slope -1/2 passing through the point (-3,4).

Answer 1

To graph this line, first plot the point at (-3, 4). The point is 3 units to the left of the origin (x-coordinate of -3) and 4 units above the y-axis (y-coordinate of 4).

FROM THIS POINT, count the slope and plot a new point. With a negative slope the will go down from left to right. This allows us to count UP and LEFT, or DOWN and RIGHT. From the point if we count the slope up 1 and left 2 we would get the point (-5, 5). If we count down 1 and right 2 we would get the point (-1, 3).

Once you have two points plotted you can draw your line through them.

Answer 2

Hi TJ Y

You can build this line in Slope Intercept form since you are given the slope, m

Slope Intercept Form is

y= mx + b

m = (-1/2)

y= (-1/2)x + b

Use the coordinates given (-3, 4) to solve for b

4 = (-1/2)(-3) + b

4 = 3/2 + b

4 - 3/2 = b

8/2 - 3/2 = b

5/2 = b

Can you continue from here?

You should graph your line to confirm that it passes through (-3, 4).

You can graph your line on paper and you can graph it at desmos.com

I hope this helps