Question

How do you find the x and y intercept of `5x + y = 2`?

Answer 1

y-intercept = 2
x-intercept `=2/5`

Explanation:

5x + y = 2 is the`color(blue)" equation of a line"`

When this line crosses the y-axis , the x-coordinate will be zero.

Substituting x = 0 into the equation allows us to obtain the corresponding y-coordinate (y-intercept).

x = 0 : 5(0)+ y = 2 → 0 + y = 2 → y = 2 is the y-intercept.

Similarly, when the line crosses the x-axis, the y-coordinate will be zero.
Substituting y = 0 into the equation will give us the corresponding x-coordinate (x-intercept ).

y = 0 : `5x+0=2rArr5x=2rArrx=2/5" is the x-intercept"`
graph{2-5x [-10, 10, -5, 5]}