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