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Y_Kistochka [10]
2 years ago
8

Write an equation for a line that passes through the points (0,-4) and (1,3)

Mathematics
1 answer:
stich3 [128]2 years ago
3 0
We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.

Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4

Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.
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A plumber has a 2.5 meter long copper pipe. He needs to cut lengths of 60cm,35cm and 90cm
Dima020 [189]
Hello.

The answer is 2315 cm.

To get the answer the equation is: 2500 - (60 +35 +90 )
To get 2500: 2.5 meters is 2500 cms
Then you would subtract how much he needs.

have a nice day
8 0
4 years ago
What is the amount sales tax on a suit priced at $3,129 if the sales tax rate is 4%?
svp [43]
To find the tax = $3129 × 4% = $125.16.
The final price = $3129 + $125.16 = $3254.16.

Hope this helps
8 0
3 years ago
Write an equation for the line (in slope-intercept form) that passes through the given point with the slope m. (0, -7); m = -7
Alina [70]

Answer:

y= -7x -7

Step-by-step explanation:

All line equations can be represented in the form y = mx + c where a is the gradient or slope and b is the y intercept. (letters used for m and c may vary)

You have been given the slope, = -7 which you can put into y=mx+c

y = -7x + c

The function of a line ^^ means that for any values of x, you multiply it by -7 and add -7. The given coordinates means that when x =0, y = -7. So you can plug these into y = -7x + c , -7 = -7(0) + c . Therefore c = -7

Alternatively, since the value for c is the y intercept, the coordinates immediately give you the answer c. x = 0 which means taht the line intercepts the y axis when y = -7. hence the y intercept = -7

6 0
3 years ago
: -- ) PLEASE HELP me out with this one
Blababa [14]

Answer:

A

Step-by-step explanation:

To answer this, we need to see what happens to the curves on the given interval

For f(x), we have that there is a decrease as we are moving from a higher positive value of y to a lower positive value of y over the specified interval

For g(x), we can see that we are moving from a lower positive y value to a higher positive y value

What this mean is that the first option is correct

6 0
3 years ago
What is the midpoint of a segment (-2,-7) and (7,4)
Rasek [7]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-7})\qquad
(\stackrel{x_2}{7}~,~\stackrel{y_2}{4})
\qquad
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{7-2}{2}~~,~~\cfrac{4-7}{2} \right)\implies \left(\cfrac{5}{2}~,~\cfrac{-3}{2} \right)\implies \left( 2\frac{1}{2}~,~-1\frac{1}{2} \right)

5 0
3 years ago
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