. Write the slope intercept form of the line through the given point
2 answers:
You might be interested in
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function
This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so
Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to
substitute the given values
see the attached figure
Answer:
Step-by-step explanation:
To write an equation, use the slope-intercept equation:
M is the slope and b is the y-intercept.
First, find the slope by using the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Substitute values:
Simplify parentheses (two negatives make a positive) and simplify:
The slope, m, is 4. Insert this information into the equation:
Now, take one of the points and insert into the slope-intercept formula:
Solve for b, the y-intercept. Simplify multiplication:
Add 20 to both sides and simplify:
The y-intercept, b, is 20. Insert this value into the equation:
Done.