Question

Determine the intercepts of the line. Do not round your answers. 2

x
+
5
y
=
−
6
2x+5y=−62, x, plus, 5, y, equals, minus, 6
y
yy-intercept:
(
(left parenthesis


,
,comma

)
)right parenthesis
x
xx-intercept:
(
(left parenthesis


,
,comma

)
)right parenthesis

Answer 1

Answer: To find the x and y intercepts of the line 2x + 5y = -6, we can substitute 0 for x to find the y-intercept and 0 for y to find the x-intercept.

y-intercept:

To find the y-intercept, we set x = 0 and solve for y:

2x + 5y = -6

2(0) + 5y = -6

5y = -6

y = -6/5

Therefore, the y-intercept is (-0,6/5)

x-intercept:

To find the x-intercept, we set y = 0 and solve for x:

2x + 5y = -6

2x + 5(0) = -6

2x = -6

x = -3

Therefore, the x-intercept is (-3,0).

Hence, the intercepts of the line 2x + 5y = -6 are (-3, 0) for the x-intercept and (0, -6/5) for the y-intercept.

Explanation: