Mathematics: Graph the following equation using X- and y-intercepts. x + y = -3

Graph the following equation using X- and y-intercepts.

Ответ:

Kiona3815

17.03.2022

Mathematics

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 Ax+By=C format. Whenever a line is put into standard form, the x-intercepts are represented by $(\frac{C}{A},0)$ and the y-intercepts are represented by $(0, \frac{C}{B} )$ . So, let's calculate them by doing the following:

1) Find the x-intercept by using the $(\frac{C}{A},0)$ formula. Substitute the number on the right side of the equation for and the coefficient for the x term for . So, in this case, C = -3 and A = 1 :

$(\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)$

Therefore, the x-intercept is (-3,0).

2) Next, find the y-intercept by using the $(0,\frac{C}{B} )$ formula and substituting the right values. is still the number on the right side of the equation and is the coefficient of the y term. So, C = -3 and B = 1 .