Question

1. solve by graphing \\(\

$$\begin{cases} y = \\frac{3}{7}x + 4 \\\\ y = \\frac{3}{7}x - 3 \\end{cases}$$

\\)

Explanation:

Step1: Identify slope-intercept form

Both equations use $y=mx+b$, where $m$ = slope, $b$ = y-intercept.
Equation 1: $y=\frac{3}{7}x+4$, so $m=\frac{3}{7}$, $b=4$
Equation 2: $y=\frac{3}{7}x-3$, so $m=\frac{3}{7}$, $b=-3$

Step2: Analyze slope consistency

Parallel lines have equal slopes. Here, both have $m=\frac{3}{7}$.

Step3: Check for intersection

Parallel lines never intersect, so no shared $(x,y)$ solution.

Answer:

There is no solution (the lines are parallel and never intersect).