Give the equation of a line perpendicular to the line y = 4x having the same y-intercept.
My goodness, Crystal!
You don't even know how to start on these 10 questions? I'm sorry.
If you're not just looking for easy answers, then go back and show us what you have done to try to solve these problems.
I'll delete any further math questions you post this evening until you've shown your efforts.
Ms. Sue Why do you always assume that when a question is posted more than once that it is from the same person?!?
To find the equation of a line perpendicular to the given line, we need to use the fact that the slopes of perpendicular lines are negative reciprocals of each other.
The given line has the equation y = 4x.
To find the slope of this line, we can compare it to the general form of a line, y = mx + b, where m is the slope. From the equation y = 4x, we can see that the slope is 4.
Since we want to find a line perpendicular to this one, we need to find the negative reciprocal of the slope, which is -1/4.
Now, we also know that the line we want has the same y-intercept as the given line. The y-intercept is the value of y when x is 0.
Since the given line is y = 4x, when x is 0, y will also be 0. Therefore, the y-intercept is 0.
Putting all this information together, we have the equation of the desired line: y = -1/4x + 0.
Simplifying this equation, we get y = -1/4x.
So, the equation of a line perpendicular to y = 4x and having the same y-intercept is y = -1/4x.