Answer:
Step-by-step explanation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:
We are given the points (-6,-9) and (7,7), thus the slope is:
Now we apply the point-slope formula using the point (-6,-9):
This equation is expressed in the required format
Answer:
Step-by-step explanation:
The graph of y = 3^x will pass through the point (0, 1). This graph passes through the point (-3, 1); it has been shifted to the left 3 units.
A function can be translated, or shifted, to the left by adding a number to x before the function is applied; in this case, it means adding 3 to x before the base is raised to the power. This gives us
This graph has also been translated, or shifted, down 2 units. This can be done by subtracting a number from the end of the function; this gives us
