Graph the linear equation in two variables, using the two different range settings given. Determine which setting shows
all intercepts of the line.
-$$y = 4 x + 13$$
A) Setting A: $[ - 10,10 ]$ by $[ - 10,10 ]$
B) Setting B: $[ - 10,10 ]$ by $[ - 10,15 ]$

Question

Quizplus · Accepted Answer

To find the intercepts, set $x = 0$ to find the y-intercept and $y = 0$ to find the x-intercept. For $y = 4x + 13$, the y-intercept is $13$ (when $x = 0$, $y = 13$), and the x-intercept is found by setting $y = 0$, leading to $0 = 4x + 13$, which simplifies to $x = -\frac{13}{4} = -3.25$. Both intercepts will be visible in Setting B ($[-10,10]$ by $[-10,15]$) because the y-intercept at $13$ is within the y-range of $[-10,15]$, while Setting A's y-range of $[-10,10]$ would not fully display the y-intercept at $13$.

Graph the Linear Equation in Two Variables, Using the Two y=4x+13y = 4 x + 13y=4x+13

Graph the Linear Equation in Two Variables, Using the Two $y = 4 x + 13$