Oct 07, 1:28:22 PM What is the equation of the line that passes through the point (-4, 4) and has a slope of 3/4

y=3/4x+7

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,4) and has a slope of 3/4.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 3/4. So you can right away fill in the equation for a line somewhat to read:

y=3/4x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,4). When x of the line is -4, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 3/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,4).

So, why not plug in for x the number -4 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,4). y=mx+b or 4=3/4 × -4+b, or solving for b: b=4-(3/4)(-4). b=7.

hope this answers your question sorry it's soo long i just like writing long stuff have a great day!!

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: