Question

Find the co-ordinates of, the middle point of the portion of the line 5x + y = 10 intercepted between the x and y-axes.​

Answer 1

Substitute

0

for

y

, and solve for

x

.

5

x

+

0

=

10

5

x

=

10

Divide both sides by

5

.

x

=

10

5

x

=

2

Point A:

(

2

,

0

)

←

x-intercept

Y-intercept: value of

y

when

x

=

0

Substitute

0

for

x

.

5

(

0

)

+

y

=

10

Simplify.

0

+

y

=

10

y

=

10

Point B:

(

0

,

10

)

←

y-intercept

graph{5x+y=10 [-14.24, 14.23, -7.12, 7.12]}