A line has an x-intercept of 3 and a y-intercept of -6. The slope-intercept form of its equation is
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
The slope of a line perpendicular to another line is the opposite reciprocal of the slope of the other line, meaning if the slope of the other line is , then the slope of the line perpendicular is
.
Knowing this, we can start to construct the equation for the line:
To solve for , we plug in the coordinates of the point that we know the line runs through,
:
Therefore, the slope of the line that is perpendicular ot the line provided in the equation is the following:
Answers:
f(-3) = -1
f(-1) = 2
f(3) = 5
======================================
Explanations:
Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.
Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1
Through similar steps, you should find that f(-1) = 2 and f(3) = 5
Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.
