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irinina [24]
3 years ago
8

Write the equation of the line that passes through (3, 4) and (2, –1) in slope-intercept form.

Mathematics
1 answer:
matrenka [14]3 years ago
5 0
1) slope is 6 and y-intercept is ( 0,5)    y = mx + b, m = 6, b = 5    y = 6x + 5 2)line passes through the points ( 3,6) and ( 6,3 )   First find the slope:  m = (3-6)/(6-3) = -3/3 = -1   y = -x + b   Plug in one of the given points (x,y) and find b   6 = -3 + b   9 = b  <span> y = -x + 9</span> a horizontal line that passes through the point ( -1,7)Horizontal lines have a constant y-value and formaty = c  where c is a constant number. y = 7 y=-3x+3x intercept:  set y = 0 and solve for x0 = -3x + 33x = 3x = 1x-intercept: (1, 0) y-intercept:  set x = 0 and solve for yy = -3(0) + 3y = 3y-intercept: (0,3) y=0,5x-1Is this two equations? The line y=0 has y-intercept at (0,0)The x-intercept is the entire x-axis y=5x-1x -intercept:  Set y = 0 and solve for x y-intercept: Set x = 0 and solve for y 
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Denis examined the records of the clients who had joined his gym more than six months ago, and he found these statistics: \begin
drek231 [11]

Answer:

.2

Step-by-step explanation:

This is a conditional probability question. So it's asking you to find the probability that a client remained a member for more than 6 months, given that the client joined in January - which is formatted as P = (.5 | .12). You would then divide the chance of being over 6 months AND in January over the chance of being a member for over six months. ( .024 / .12) There, you would get .2 as your answer.

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3 years ago
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Lady_Fox [76]
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20. If a certain linear function f(x) is evaluated at 0, the answer is 4.
bija089 [108]

Answer:

y = (1/3)x + 4

Step-by-step explanation:

Two points on this line are (0, 4) and (3, 5).

As we move from the first point to the second, x increases by 3 and y increases by 1.  Thus, the slope, m, of the line is m = rise / run = 1/3.

Use the slope-intercept equation:  y = mx + b.

If we use the data from the point (0, 4), we get:

4 = (1/3)(0) + b, so that b = 4.  The desired equation is y = (1/3)x + 4.

7 0
3 years ago
Hey can you please help me posted picture of question
Naddika [18.5K]
The correct answer is option D

The solution is shown below:

x^{2} +16 \\  \\ &#10;= x^{2} +(4)^{2} \\  \\ &#10;= x^{2} -(-1)(4)^{2}   \\  \\ &#10;= x^{2} -i^{2} (4)^{2} \\  \\ &#10;= x^{2} -(4i)^{2} \\  \\ &#10;=(x+4i)(x-4i)&#10;
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3 years ago
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