All Algebra 1 Resources
Example Questions
Example Question #1 :How To Graph A Line
Which of the following is the graph of the equation?
On the coordinate plane, the graph of an equation of the formis a horizontal line with its-intercept at. Therefore, the graph ofis horizontal with-intercept.
Example Question #2 :How To Graph A Line
Which of the following is the graph of the equation?
On the coordinate plane, the graph of an equation of the formis a vertical line with its-intercept at. Therefore, the graph ofis vertical with-intercept.
Example Question #3301 :Algebra 1
Which of the following is the graph of the equation?
None of the other choices are correct.
None of the other choices are correct.
Since the intercepts are shown on each graph, we find the intercepts ofand compare them.
-intercept:
Set
The graph goes through. Since none of the graphs shown go through the origin, none of the graphs are correct.
Example Question #4 :How To Graph A Line
Which of the following graphs best represents the following function?
None of these
This equation describes a straight line with a slope ofand a y-intercept of. We know this by comparing the given equation to the formula for a line in slope-intercept form.
The graph below is the answer, as it depicts a straight line with a positive slope and a negative y-intercept.
Example Question #5 :How To Graph A Line
Which of the following choices is an accurate visual description of the graph of
A line with a slope of zero that crosses the-axis at
A line with a positive slope that crosses the-axis at
A line with a negative slope that crosses the-axis at
A line with a slope ofthat crosses the-axis at the origin
A parabola with its vertex at
A line with a negative slope that crosses the-axis at
Though this is a question about a graph, we don't actually have to graph this equation to get a visual idea of its behavior. We just need to put it into slope-intercept form. First, we subtractfrom both sides to get
Simplified, this equation becomes
Remember, this is inform, where the slope is represented by. Therefore, the slope is negative. The y-intercept is represented by, which isin this case. So, the line has a negative slope and crosses the-axis at.
Example Question #6 :How To Graph A Line
Which of the following is the graph of the equation?
None of the other choices are correct.
Since the intercepts are shown on each graph, we need to find the intercepts of.
To find the-intercept, setand solve for:
Therefore the-intercept is.
To find the-intercept, setand solve for:
Thus the-intercept is.
The correct choice is the line that passes through these two points.
Example Question #7 :How To Graph A Line
Which equation matches the graph of the line shown?
An equation of a line is made of two parts: a slope and a y-intercept.
The y-intercept is where the function crosses the y-axis which in this problem it is 0.
The slope is determined by the rise of the function over the run which is, so the function is moving up one and over one.
Therefore your equation is:
, which is simply