Answer:
y - 3 = 2(x - 2)
Step-by-step explanation:
Step 1. Solve for slope
m = slope
m = (y2 - y1)/(x2 - x1)
Points: (-2, 3) & (1, 9)
m = (9 - 3)/(1 - - 2)
m = 6/3
m = 2
Step 2. Use the two points and the slope to write the line in point-slope form.
Point-Slope Form: y - y1 = m(x - x1)
Slope-Intercept Form: y = 2x + 7
With the points: (-2, 3) & (1, 9)
Where x1 = -2 y1 = 3, x2 = 1 y2 = 9
Point-Slope Form = y - 3 = 2(x - 2)
*Oops, there’s something wrong with your system that there isn’t no correct option* thus the closest option would be D.
I think it is 8, 48, 9, 54
Can I have a brain list
Base = 8 + 2x
Height = 14 - x
Expression for area of the triangle:
1/2(8 + 2x)(14 - x)
Hope this helps!
Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is , where m is the slope and is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!
The value of a and b are; 4.8 and 10.8 respectively.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We have been given a figure which shows that;
Let x, y z, and u lines are parallel.
Therefore, by using proportion we can say that
a/ 12 = 4/ 10
thus, a = 4/ 10 (12)
a =2(12)/ 5
a = 24/5
a = 4.8
Now, 12/b = 10/8
b = 12 (8/10)
b = 6(8)/ 5
b 54/5
b = 10.8
Hence, tha value of a and b are; 4.8 and 10.8 respectively.
More can be learned about proportions at;
brainly.com/question/24372153
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