Find coordinates of the y-intercept for 2x+5y=12 2 x 5 y 12 .

Question

I am doing all of this in the name of school work. Can you help me check my work?

 

Answer 1

The y-intercept is where the line crosses the Y-axis. There are two methods of solving this question. Either you can translate the equation into the slope-intercept form (y = mx + b) or you can solve for a value of y where x = 0.

 

First try the slope-intercept form. This is where we solve the equation for y.

2x + 5y = 12

-2x            -2x

 

5y = -2x + 12

/5       /5     /5

 

y = -2/5x + 12/5

 

Since the b in the form y = mx + b is the y-intercept, we find the y-intercept is 12/5

 

The second method we set x = 0 and solve for y.

2x + 5y = 12

2*(0) + 5y = 12

0 + 5y = 12

5y = 12

y = 12/5

 

Since the question says to put your answer into coordinates, you should show your answer x=0 and y=12/5 as (0,12/5)