|c|c|c|
Function & m & b
[-0.8em]
y= 3/4x& 3/4 & 0 [0.8em]
To graph the line we need to know at least two points through which it passes. We know that it's y-intercept is 0. Therefore, it passes through the origin. Using the slope, we can find one more point on the line and then draw it.
b To rotate the slope triangle about the origin, we place a protractor along the hypotenuse of the slope triangle and then draw a second segment along the 90^(∘) mark that is congruent with the hypotenuse.
We also have to rotate the vertex at the 90^(∘) angle.
Now we can draw the rotated slope triangle and mark the side's length.
As we can see, the new slope is m= -43.
c A line perpendicular to y= 43x has to have a slope that is the negative reciprocal of 43. This means the product of their slopes equals -1.
m_1 m_2=-1By substituting m_1= 43 into the formula, we can find the slope of the perpendicular line.
The slope of the perpendicular line to y= 43x is m=- 34 Notice that we are free to choose whatever y-intercept we want. Therefore, we will keep it simple and choose the origin.
y=- 3/4x+0 ⇔ y=- 3/4x
