The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
We can see that the lines intersect at: (-5,-3)
Step-by-step explanation:
Given system of equations is:

Lets convert the second equation in the same form as the first equation

Adding 3y on both sides

Dividing both sides by 3

The graph of equation can be plotted using manual graphing or any online graphing calculator
We will use the Desmos online graphing calculator to graph the equations (Picture attached)
We can see that the lines intersect at: (-5,-3)
Keywords: Graphing, linear equations
Learn more about linear equations at:
#LearnwithBrainly
Answer: 71
Step-by-step explanation:
Warmest - coldest
= -12 - (-83)
= -12 + 83
= 71
I have attached the steps so good luck
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that
found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.