Question

Find the x-intercept and y-intercept of the line 7x + 5y = -35

Answer 1

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.

=$7x + 5 (0) = -35$

=$7x = 35$

=$x = 5$

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.

=$7(0) + 5y = -35$

=$5y = 35$

=$y = 7$

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