Answer:
x-intercept: (-3,0)
y-intercept: (0,-3)
Step-by-step explanation:
Looking at the equation, we can see that it is already in standard form, or in a [tex]Ax+By=C[/tex] format. Whenever a line is put into standard form, the x-intercepts are represented by [tex](\frac{C}{A},0)[/tex] and the y-intercepts are represented by [tex](0, \frac{C}{B} )[/tex]. So, let's calculate them by doing the following:
1) Find the x-intercept by using the [tex](\frac{C}{A},0)[/tex] formula. Substitute the number on the right side of the equation for [tex]C[/tex] and the coefficient for the x term for [tex]A[/tex]. So, in this case, [tex]C = -3[/tex] and [tex]A = 1[/tex]:
[tex](\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)[/tex]
Therefore, the x-intercept is (-3,0).
2) Next, find the y-intercept by using the [tex](0,\frac{C}{B} )[/tex] formula and substituting the right values. [tex]C[/tex] is still the number on the right side of the equation and [tex]B[/tex] is the coefficient of the y term. So, [tex]C = -3[/tex] and [tex]B = 1[/tex].
[tex](0,\frac{C}{B})\\ (0, \frac{-3}{1})\\(0, -3)[/tex]
Therefore, (0, -3) is the y-intercept.
