Respuesta :

The x - intercept is [tex](\frac{5}{3}, 0)[/tex] 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

[tex]x = \frac{5}{3}[/tex]

Therefore the x - intercept is [tex](\frac{5}{3}, 0)[/tex]

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)