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3 years ago

What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?

Mathematics

1 answer:

Sever21 [200]3 years ago

8 0

9514 1404 393

Answer:

x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

1(x -1) -3(y -(-2)) = 0

x -3y -7 = 0

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What is 5/4 times 9/10 in simpliest form?

s344n2d4d5 [400]

Answer:

1 1/8

Step-by-step explanation:

5/4 x 9/10 = 45/40

Simply 45/40 and you get 1 1/8

Hope this helps!

8 0

3 years ago

Read 2 more answers

Solve the system of equations below by graphing. x^2-2x+y-3=0 x2+y=0 What is the solution rounded to the nearest hundredth? (–2.

Olin [163]

Answer:

$(-1.5,-2.25)$

Step-by-step explanation:

The first function is $x^2-2x+y-3=0$ .

We make y the subject of this function to obtain,

$y=3+2x-x^2$ .

This is graph will open downwards because $a=-1\:$ .

At y-intercept of this graph, $x=0$ .

$\Rightarrow y=3+2(0)-(0)^2$

$\Rightarrow y=3$

The y-intercept is $(0,3)$ .

At x-intercept $y=0$ .

$0=3+2x-x^2$

$0=(x+1)(x-3)$

$\Rightarrow x=-1,x=3$ .

The x-intercepts are,

$(-1,0),(3,0)$

Also the vertex form of the function is,

$y=-(x-1)^2+4$ .

Therefore the vertex of the parabola is $(1,4)$ .

We plot all the points obtained and draw a smooth curve to obtain the curve as show in the diagram.

The second function is

$x^2+y=0$

$\Rightarrow y=-x^2$

This is the graph of the basic quadratic function $y=x^2$ that has been turned upside down.

This graph also has the vertex,y-intercept and x-intercept all at $(0,0)$ .

We now graph this too on the same graph sheet as the first one to obtain the blue graph as shown in the diagram.

These two graphs intersect at the point, $(-1.5,-2.25)$ .

Therefore the correct answer is B

3 0

3 years ago

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

Goryan [66]

Answer:

Step-by-step explanation:

week 1 - 62,68,68,68,69,70,70,72,72,75,75,76,78,78,80,80,80,89,89

week 2 - 62,68,68,68,69,70,70,72,72,72,75,75,76,78,78,80,80,80,85,86,86,86,88,88, 88,88,89,89,89,89

(bold = median)

week 2 median = 79 > week 1 median = 75

5 0

3 years ago

Read 2 more answers

What’s the answer 3y+5<10

photoshop1234 [79]

Answer:

y < 5/3

Step-by-step explanation:

3y + 5 < 10

Let's subtract 5.

3y < 5

Okay. We have something manageable. Let's divide by 3.

y < 5/3

That's our answer.

4 0

3 years ago

4(x+4) + 2x = 52 need answer

Phoenix [80]

Answer:

x=6

Step-by-step explanation:

3 0

3 years ago