solve by graphing y=3x-4 x-y=-1

Answer 1

y=3x -4 is an upward sloping line with slope =3 and y intercept =-4, x intercept = 4/3

x-y = -1 is another line. solve for y to find its slope and y intercept

y = x +1 has slope =1 and y intercept =1, x intercept = -1

plot the x and y intercepts of each line and connect them.

connect the points (0,-4) and (4/3, 0) for the 1st line

connect the points (0,1) and (-1,0) for the 2nd line

the two lines intersect at the point (5/2, 7/2) where x=2.5 and y=3.5

check the solution by plugging in that point into each equation

x-y = -1

2.5 - 3.5 = -1

y= 3x -4

3.5 = 3(2.5) - 4

3.5 = 7.5 -4

3x -4 = x +1

2x = 5

x =5/2

y=x+1

y = 5/2 +1

y = 7/2