Convert -2x+6y=-24 to slop intercept form
1 answer:
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1) The slope of the point (0,0) and (2,1) is 1/2.
2) The slope of the point (0,-1) and (2,-5) is -2.
3) The slope of the point (0,7) and (2,4) is -3/2.
4) The points (-1,3) and (-1,-3) has No slope.
5) The slope of the point (1,-3) and (-1,-3) is zero.
<u>Step-by-step explanation:</u>
There are five set of points given in the question.
You need to find out the slope of the line formed by the points.
The formula used to find the slope of a line is given by,
Slope =
1) The given points are (0,0) and (2,1)
(x1,y1) ⇒ (0,0)
(x2,y2) ⇒ (2,1)
Slope =
⇒ 1/2 is the slope.
2) The given points are (0,-1) and (2,-5)
(x1,y1) ⇒ (0,-1)
(x2,y2) ⇒ (2,-5)
Slope =
⇒
⇒ -2 is the slope.
3) The given points are (0,7) and (2,4)
(x1,y1) ⇒ (0,7)
(x2,y2) ⇒ (2,4)
Slope =
⇒ -3/2 is the slope.
4) The given points are (-1,3) and (-1,-3)
(x1,y1) ⇒ (-1,3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ -6/0 (No slope)
If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.
∴ There is no slope.
5) The given points are (1,-3) and (-1,-3)
(x1,y1) ⇒ (1,-3)
(x2,y2) ⇒ (-1,-3)
Slope =
⇒ 0/-2
∴ The slope is zero.
Answer:
- a = 8; b = 40
Step-by-step explanation:
<em>See attached</em>
<h3>Given </h3><u>Kite WXYZ with:</u>
- XY = 3a - 5
- YZ = a + 11
- ∠W = 50°
- ∠X = 3b
- ∠Y = 70°
- Values of a and b
<u>Since XY and YZ are congruent sides, XY = YZ</u>
- 3a - 5 = a + 11
- 3a - a = 11 + 5
- 2a = 16
- a = 8
<u>The angles Z and X are equal and the sum of 4 angles is 360°, therefore:</u>
- 3b + 3b + 50° + 70° = 360°
- 6b + 120° = 360°
- 6b = 240°
- b = 40°
<u>Correct option is the last one </u>
- a = 8; b = 40°
Answer:
Translate 7 units up and then translate 11 units to the left.
Step-by-step explanation:
We have the triangle PQR having co-ordinates (10,6), (6,2) and (4,-1).
It is required to translate ΔPQR so that the resulting image is completely inside the 2nd quadrant.
So, for that we will apply the following sequence of translations:
1. Translate 7 units up.
This will give us the figure in the 1st quadrant having co-ordinates (10,1), (6,9) and (4,6).
2. Translate 11 units to the left
We will get the final triangle P'Q'R' with the co-ordinates P'(-1,1), Q'(-5,9) and R'(-7,6) as shown below.
