How do you find the x and y intercept given #6x - 3y = -10#?

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Answer 1 · 2018-04-14T01:17:32

#color(blue)("x-intercept = -(5/3), y-intercept = 10/3"#

By substituting the value of x & y with zero, one can get the y and x intercepts respectively.

#6x - 3y = -10#

Let x = 0,

Then, #color(red)(cancel(6 * 0)) - 3 y = -10#

#:. y = 10/3#

Similarly, #6 x - color(red)(cancel(3 * 0)) = -10#

#x = -10/6 = -5/3#

#:. color(blue)("x-intercept = -(5/3), y-intercept = 10/3"#