y-intercept (0, -7) and x-intercept (5,0)
1) To find the y-intercept, let's rewrite that equation into the slope-intercept form to better do it:
2/5x -2/7y =2 Add 2/7y to both sides
-2/7y = 2 -2/5x Multiply the whole equation by 7 to get rid of the fraction x
-2y = 14 -14/7x Divide by -2
y = -7 +x
y= x -7
So the y-intercept is at y=-7
2) To find the x-intercept, let's plug into that y=0
2/5x -2/7y =2
2/5x -2/7(0) = 2
2/5x = 2
x= 2 : 2/5
x = 2 x 5/2
x= 5
3) Hence, the answer is y-intercept (0, -7) and x-intercept (5,0)