Answer:
2
Step-by-step explanation:
Slope equation: (y2-y1)/(x2-x1)
y2 = 4, y1 = -2, x2= 5, x1 = 2
4 – -2 = 6
5 - 2=3
6/3 = 2
Answer:
x = 10
Step-by-step explanation:
3x + 2 = 32
=> 3x = 30
=> x = 10
Hoped this helped.
Well, we know the line is perpendicular to that one above.... what is the slope of that one anyway? well, notice, the equation is already in slope-intercept form

.
so, we're looking for the equation of a line perpendicular to that one, now, since that one has a slope of 4/3, a perpendicular line will have a negative reciprocal slope to that one,

so, what is the equation of a line whose slope is -3/4 and runs through -4,9?
![\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ &&(~ -4 &,& 9~) \end{array} \\\\\\ % slope = m slope = m\implies -\cfrac{3}{4} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-9=-\cfrac{3}{4}[x-(-4)] \\\\\\ y-9=-\cfrac{3}{4}(x+4)](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%5C%5C%0A%26%26%28~%20-4%20%26%2C%26%209~%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%20m%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-9%3D-%5Ccfrac%7B3%7D%7B4%7D%5Bx-%28-4%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay-9%3D-%5Ccfrac%7B3%7D%7B4%7D%28x%2B4%29)
now, the x-intercept for any function is found by zeroing out the "y" and solving for "x", thus

x = 8, y = 0 ( 8 , 0 )
If segment PD is parallel to segment CR then triangle PDX is similar to triangle CRX, due to angle PXD and angle CXR being congruent by the vertical angle theorem, and angle PDX and angle CRX being congruent by the alternate interior angle theorem, these 2 triangles are similar by the A.A similarity postulate.