Question

1 hot spot 2 points a system of equations is shown. \

$$\begin{cases} 2x + y = -1 \\\\ y = 3x + 4 \\end{cases}$$

mark a point on the graph where the equations will intersect. graph with x from -5 to 5 and y from -5 to 5, grid lines

Explanation:

Step1: Substitute y into first equation

Substitute $y=3x+4$ into $2x+y=-1$:
$2x + (3x + 4) = -1$

Step2: Simplify to solve for x

Combine like terms and isolate x:
$5x + 4 = -1$
$5x = -1 - 4$
$5x = -5$
$x = \frac{-5}{5} = -1$

Step3: Find y using x=-1

Substitute $x=-1$ into $y=3x+4$:
$y = 3(-1) + 4 = -3 + 4 = 1$

Answer:

The intersection point is $(-1, 1)$ (to mark on the graph: move 1 unit left on the x-axis, 1 unit up on the y-axis)