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 form is a horizontal line with its -intercept at . Therefore, the graph of is horizontal with -intercept .
Example Question #21 : Functions And Lines
Which of the following is the graph of the equation ?
On the coordinate plane, the graph of an equation of the form is a vertical line with its -intercept at . Therefore, the graph of is vertical with -intercept .
Example Question #22 : Functions And Lines
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 of and 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 #21 : Graphing
Which of the following graphs best represents the following function?
None of these
This equation describes a straight line with a slope of and 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 #23 : Functions And Lines
Which of the following choices is an accurate visual description of the graph of
A line with a slope of that crosses the -axis at the origin
A line with a negative slope that crosses the -axis at
A line with a slope of zero that crosses the -axis at
A parabola with its vertex at
A line with a positive slope that crosses the -axis 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 subtract from both sides to get
Simplified, this equation becomes
Remember, this is in form, where the slope is represented by . Therefore, the slope is negative. The y-intercept is represented by , which is in this case. So, the line has a negative slope and crosses the -axis at .
Example Question #21 : Graphing
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, set and solve for :
Therefore the -intercept is .
To find the -intercept, set and solve for :
Thus the -intercept is .
The correct choice is the line that passes through these two points.
Example Question #22 : Graphing
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
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