Graph the line with the given point and slope.
The line through (negative 1,0) with slope two thirds
To graph the line, we start by plotting the given point (-1, 0) on the coordinate plane.
Then, we can use the slope to find one more point on the line. The slope of the line is 2/3, which means that for every 3 units we move horizontally to the right, we need to move 2 units vertically upwards.
Starting from the point (-1, 0), we can move 3 units to the right, to the point (2, 0). From there, we move 2 units vertically upwards to the point (2, 2).
Finally, we can connect the two points (-1, 0) and (2, 2) with a straight line.
The graph of the line passing through (-1, 0) with a slope of 2/3 would look like this:
\[
\begin{tikzpicture}
\begin{axis}[
axis lines = left,
xlabel = $x$,
ylabel = $y$,
xmin = -3,
xmax = 4,
ymin = -2,
ymax = 4,
]
\addplot [
domain=-2:3,
samples=2,
color=red,
]
{2/3 * (x + 1)};
\addplot[
only marks,
color=blue,
mark=*,
mark size=5pt,
]
coordinates {(-1,0) (2,2)};
\end{axis}
\end{tikzpicture}
\]