Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a graph of the line with the given equation. 8) 3x - 2 y = 10

Question

Math word problem

Answer 1

3x - 2y = 10

2y = 3x - 10

y = (3/2)x - 5 

This is the slope-intercept form (y=mx + b)

So now we see that in slope-intercept form, we can tell that the slope is 3/2

 

In addition, we see that the y - intercept (the point where the line hits the x-axis), is -5. So, the point (0, -5) is on the line.

With this information, you should be able to sketch the graph of the line.

 

 

Answer 2

3x - 2y = 10

 

3x - 2y - 10 = 0

 

3x - 10  = 2y

 

(3x-10)/2 = y

 

 3x/2 - 10/2 = y

 

(3/2)x - 5 = 7

 

you can graph it at www.desmos.com