Final answer:
To find the intercepts of the given linear equations, we set x and y equal to 0 and solve for them separately.
Step-by-step explanation:
To find the intercepts of the equations -x+4y=4 and -x+3y=1, we need to set x and y equal to 0 separately.
For the first equation, when x=0, we have -0+4y=4. Solving for y gives us y=1. Therefore, the y-intercept for this equation is (0,1).
For the second equation, when x=0, we have -0+3y=1. Solving for y gives us y=1/3. Hence, the y-intercept for this equation is (0,1/3).
Since both equations have a negative coefficient in front of x, we can solve for x in a similar manner.
For the first equation, when y=0, we have -x+4(0)=4. Simplifying, we find x=-4. Therefore, the x-intercept for this equation is (-4,0).
For the second equation, when y=0, we have -x+3(0)=1. Simplifying, we find x=-1. Hence, the x-intercept for this equation is (-1,0).
Learn more about Intercepts of linear equations