Answer:
Option C 
Step-by-step explanation:
step 1
Find the slope of AB
we have
A(-3,-1) and B(4,4)
The slope m is equal to


step 2
Find the slope of BC
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
so

we have

substitute


step 3
Find the equation of the line into slope point form

we have


substitute

Multiply by 5 both sides



Multiply by -1 both sides

Slope of the line is -3/2
Step-by-step explanation:
- Step 1: Given that (-2, 4) is a point on the line y = mx + 1, find slope m.
Since the point is on the line, the coordinates will satisfy the equation.
⇒ 4 = m × -2 + 1
⇒ 4 = -2m + 1
⇒ 3 = -2m
∴ m = -3/2
Answer:
Step-by-step explanation:
The answer is D because the parabola is an empty circle and is positive which would mean its greater than 1 and the line has a solid point and is negative which means less than or equal to.
Answer:
You did not include your graph, therefore I will explain in the step-by-step everything you should need to know.
Step-by-step explanation:
The standard slope formula is y=mx + b, where m = slope (rise/run) and b = the y intercept.
Using this knowledge, we know that this line has a slope of 5, or 5/1, which means that you will go up 5 and 1 to the right. Since there is no + b part, that means b = 0, so the line begins at 0,0. So, using this information, possible points include 0,0, 5,1, 10,2, 15,3, etc.
Answer:
54
Step-by-step explanation:
You have to do the number of options in each category by itsself