Question

Find the x- and y-intercepts 3x+y=5

Answer 1

The x - intercept is $(\frac{5}{3}, 0)$ and y - intercept is (0, 5)

Solution:

Given that : 3x + y = 5

To find: x - intercept and y -intercept

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

3x + 0 = 5

3x = 5

$x = \frac{5}{3}$

Therefore the x - intercept is $(\frac{5}{3}, 0)$

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

3(0) + y = 5

y = 5

Therefore y - intercept is (0, 5)