Question

$y = \frac{5}{3}x$
$y = 2x - 1$
click to select points on the graph.

Explanation:

Step1: Find intersection (solve equations)

Set $\frac{5}{3}x = 2x - 1$
Multiply by 3: $5x = 6x - 3$
Rearrange: $x = 3$
Substitute $x=3$: $y=\frac{5}{3}(3)=5$
Intersection: $(3,5)$

Step2: Find points for $y=\frac{5}{3}x$

$x=0$: $y=0$ → $(0,0)$
$x=3$: $y=5$ → $(3,5)$

Step3: Find points for $y=2x-1$

$x=0$: $y=-1$ → $(0,-1)$
$x=3$: $y=5$ → $(3,5)$

Answer:

For $y=\frac{5}{3}x$, plot points $(0, 0)$ and $(3, 5)$, then draw a line through them.
For $y=2x-1$, plot points $(0, -1)$ and $(3, 5)$, then draw a line through them.
The lines intersect at $(3, 5)$.