How to graph using slopeintercept form?
Understand the Problem
The question is asking for guidance on how to plot a graph using the slopeintercept form of a linear equation, which is typically expressed as y = mx + b, where m is the slope and b is the yintercept.
Answer
To plot a graph using the slopeintercept form, identify the slope and yintercept, plot the yintercept, use the slope to find another point, then draw and label the line.
Answer for screen readers
To plot a graph using the slopeintercept form, identify the slope and yintercept, plot the yintercept, use the slope to find another point, then draw and label the line.
Steps to Solve

Identify the slope and yintercept Start by identifying the slope ($m$) and yintercept ($b$) from the linear equation. For example, in the equation $y = 2x + 3$, the slope is $2$ and the yintercept is $3$.

Plot the yintercept on the graph On a coordinate plane, plot the point where the line intersects the yaxis. This point is $(0, b)$. For our example, plot the point $(0, 3)$.

Use the slope to find another point The slope $m$ shows the rise over run. For a slope of $2$, you rise $2$ units up for every $1$ unit you move to the right. From the point $(0, 3)$, move up $2$ units (to $y = 5$) and $1$ unit to the right (to $x = 1$), giving you the point $(1, 5)$.

Draw the line Connect the two points you've plotted: $(0, 3)$ and $(1, 5)$. Extend the line in both directions, adding arrows to indicate that it goes on indefinitely.

Label the axes and the line Make sure to label the xaxis and yaxis, as well as writing the equation of the line somewhere on the graph for clarity.
To plot a graph using the slopeintercept form, identify the slope and yintercept, plot the yintercept, use the slope to find another point, then draw and label the line.
More Information
The slopeintercept form is a convenient way to express linear equations and helps in quickly understanding the behavior of the line without needing to calculate additional points.
Tips
 Confusing slope with yintercept and vice versa – remember, the slope $m$ affects how steep the line is, while $b$ is the point where the line crosses the yaxis.
 Forgetting to plot the yintercept correctly – check that you correctly identify $(0, b)$ when plotting the first point.