Final answer:
To find the y-intercept of the equation 2x + 7y = 14, set x to 0 and solve for y, giving (0, 2). To find the x-intercept, set y to 0 and solve for x, resulting in (7, 0).
Step-by-step explanation:
The y-intercept and x-intercept are points where the line crosses the y-axis and x-axis respectively. To find these intercepts for the equation 2x + 7y = 14, you can set one variable to zero and solve for the other.
Y-Intercept
To find the y-intercept, set x=0:
2(0) + 7y = 14
7y = 14
y = 2
So, the y-intercept is at (0, 2).
X-Intercept
To find the x-intercept, set y=0:
2x + 7(0) = 14
2x = 14
x = 7
So, the x-intercept is at (7, 0).