Two important things to remember:
1. The x-intercept is always on the x-axis, and the y-value is always 0. ( x , 0 ).
2. The y-intercept is always on the y-axis, and the x-value is always 0. ( 0 , y ).
Knowing that, we can solve for the x and y intercepts.
Find x - intercept
1. Set y-value to 0, and simplify the equation until you solve for x.
=[tex]7x + 5 (0) = -35[/tex]
=[tex]7x = 35[/tex]
=[tex]x = 5[/tex]
2. Plug in x in the coordinates ( x , 0 )
x-intercept = ( 5 , 0 )
Finding y - intercept
1. Set x - value is 0, and simplify the equation until you solve for y.
=[tex]7(0) + 5y = -35[/tex]
=[tex]5y = 35[/tex]
=[tex]y = 7[/tex]
2. Plug in y in the coordinates ( 0 , y )
y-intercept = ( 0 , 7 )
Hope this helped you! Let me know if you have any more questions :D
