SoPhia Learning, Unit 3, Practice Milestone 3 WITH ANSWERS
1
Match each equation with the corresponding slope and intercept.
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RATIONALE
When the coordinates are plugged into the formula,
evaluate the subtraction in the numerator and the
denominator.
7 minus 2 is 5, which becomes the value of the
numerator. 3 minus 3 is 0, which becomes the value
of the denominator. However, because we cannot
divide by 0, the slope is undefined.
The line is a vertical line where x always equals
3. It intercepts the x-axis at (3,0).
For the line , we can identify any two points and
calculate the slope. If the equation is , that
means for any point on the line, the x-coordinate will
be 3. For example, two points may be (3,2) and (3,7).
We can use the slope formula and plug in the
appropriate values.
For the line , we can identify any two points and
calculate the slope. If the equation is , that means for
any point on the line, the y-coordinate will be 3. For
example, two points may be (1,3) and (9,3). We can use
the slope formula and plug in the appropriate values.
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When the coordinates are plugged into the formula,
evaluate the subtraction in the numerator and the
denominator.
3 minus 3 is 0, which becomes the value of the numerator.
9 minus 1 is 8, which becomes the value of the
denominator. Dividing 0 by 8 equals 0. The slope of this
line is 0.
The line is a horizontal line where y always equals 3.
It intercepts the y-axis at (0,3).
The variable is the coefficient in front of x that
represents the slope. In the equation , the
coefficient in front of x is -2, so -2 is the slope.
The variable represents the y-coordinate of the yintercept. In the equation , 2 will be the ycoordinate of the y-intercept. Remember that the xcoordinate of the y-intercept is always 0, so the y-intercept
is (0,2).
For the line , we can identify the slope and yintercept because it is in slope-intercept form: .
For the line , we can identify the slope and yintercept because it is in slope-intercept form:
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CONCEPT
Forms of Linear Equations
2
The graph of a function is shown here.
The variable is the coefficient in front of x that
represents the slope. In the equation , the
coefficient in front of x is , so this is the slope.
The variable represents the y-coordinate of the yintercept. In the equation , -1 will be the ycoordinate of the y-intercept. Remember that the xcoordinate of the y-intercept is always 0, so the yintercept is (0,-1). [Show Less]