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blsea [12.9K]
2 years ago
13

Write the equation of the line in slope- intercept and point-slope form.​

Mathematics
1 answer:
AnnZ [28]2 years ago
3 0

Answer:

Step-by-step explanation:

As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise).  Thus, the slope of this line is

m = rise/run = 4/2 = 2.

Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.

From this we get the point-slope form:

y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.

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Examine the following table. Determine whether the rate of change is constant or variable. If it is constant, state the rate of
xenn [34]

Answer:

Variable rate of change.

Step-by-step explanation:

Plot the points and you'll see that the graph is not a straight line, therefore the rate of change is variable.

5 0
2 years ago
What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4
Rama09 [41]
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7


3 0
3 years ago
NO LINKS!!!!
DedPeter [7]

9514 1404 393

Answer:

  3. vertical stretch by a factor of 2; shift right 1 and down 1

  4. shift left 4 and up 4 (no stretch or shrink)

Step-by-step explanation:

The vertex form equation is ...

  y = a(x -h)^2 +k

It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.

Compare the the given equations to the above form to see the transformations.

__

3. (a, h, k) = (2, 1, -1)   ⇒   vertical stretch by a factor of 2; shift right 1, down 1

4. (a, h, k) = (1, -4, 4)   ⇒   no vertical stretch; shift left 4, up 4

6 0
3 years ago
Determine the center and radius of the following circle equation: x² + y2 - 6x + 16y + 48 = 0​
motikmotik

Answer:

center (3,-8)

radius=5

4 0
3 years ago
The answer options are
babymother [125]

Ansgilcx dhsvguydfsjhujvcouwaihgraeuvyjsghdnvufyiekghabsuivkjkesd

Step-by-step explanation:

3 0
3 years ago
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