Concept explainers
To Find:
If given an equation in standard form, explain how to determine the rate of change.
Answer to Problem 65HP
Slope of line in slope-intercept form determines the rate of change.
Explanation of Solution
Formula Used:
Equation of slope-intercept form of a line is given by:
Where
Calculation:
Equation of line in standard form is :
Assume that the coefficient of y is not 0.
We will first write the general equation of line in slope-intercept form :
The rate of change is also the slope, so the coefficient for the x -variable in the slope-intercept form is the rate of change.
For example,
Let us assume
We convert it into slope-intercept form :
Graph:
To plot the graph of the equation :
Mark the point (0,3) . Now rise 1 unit and run 3 units and plot the point (3,4) . Joint both the points to graph the line .
Chapter 4 Solutions
Algebra 1
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