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Talja [164]
3 years ago
11

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line?

Mathematics
1 answer:
masya89 [10]3 years ago
3 0
Y-y1=m(x-x1)
(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation



2x+3y=6
x+y=4
multiply second equation by -2 and add to first

2x+3y=6
<u>-2x-2y=-8 +</u>
0x+1y=-2

y=-2
sub back

x+y=4
x-2=4
add 2
x=6

x=6
y=-2
(6,-2)
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Please help me
serious [3.7K]
The answer would be C.
6 0
3 years ago
Please help! Will give brainliest! Trig ratio!
DiKsa [7]
Good question!

First of all, you need to be aware of the following trigonometrical ratios\functions:

For angle A:

adjacent=12
opposite=35
hypotenuse=37

Hence:
cos(A)= \frac{12}{37} &#10;\\~\\&#10;sin(A)= \frac{35}{37} &#10;\\~\\&#10;tan(A)= \frac{35}{12}

I hope that helps!



I am with you if you faced any difficulties!


 


4 0
3 years ago
How do you get the fully simplified slope-intercept form?​
Mnenie [13.5K]

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

6 0
3 years ago
How does a slope relate to the unit rate
Genrish500 [490]
Because of speed, acceleration and movement.
8 0
3 years ago
I'll give brainlest, if you be right! : )
adell [148]
I think it would be around 17 in
5 0
3 years ago
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