What is the value of 4x-7 when x=4
2 answers:
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Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, . I chose the points (0, -1) and (-1, 0):
Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:
Answer:
Both functions have negative rates of change
Function B has a greater rate of change than Function A
Step-by-step explanation:
we know that
<em>Function A</em>
The rule for Function A is
This is the equation of a proportional relationship (the line passes through the origin)
The slope is equal to
<em>Function B</em>
Find the equation of the function B
we have the points (-2,0) and (0,-2)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute the values
The equation of the function B in slope intercept form is equal to
we have
substitute
<u><em>Verify each statement</em></u>
Option 1) Both functions have negative rates of change
The statement is true
Because, the rate of change is the slope of the linear equation
Function A ---->
Function B ---->
Option 2) Both functions have the same rate of change.
The statement is false (see the explanation)
The rate of change are different ( m=-2/3 and m=-1)
Option 3) When graphed, Function A and Function B are parallel
The statement is false
When graphed, Function A and Function B are intersecting lines, because their slopes are different
Option 4) Function B has a greater rate of change than Function A
The statement is true
Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes
therefore
1 > 2/3