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andriy [413]
3 years ago
8

Write the equation of the line that goes through (9/2,1) and (-7/2,7) then graph.

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Sorry for the confusion, redoing my answer for you!

Using the points (9/2,1), (-7/2,7)

m=y2−y1 over x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=7−(1)  over  −72−(92)

simplify

m=−3/4

Use the slope −3/4 and a given point (9/2,1) to substitute for x1 and y1 in the point-slope form y−y1=m(x−x1)

y−(1)=−3/4⋅(x−(9/2))

Rewrite in y=mx+b

solve for y

y=−3x/4+35/8

ill use desmos to graph (y=−3x/4+35/8)

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I’m confused on this one
scoray [572]
The general form of slope-intercept form is y=mx+b

m stands for the slope
b stands for the y intercept

They are giving you m so you can replace m with -4/5 ⇒ y=-4/5x+b

Now you just need to find b. They also give you the point (0,-3). This means that when x is 0, y is equal to -3.

Lets go back to y=-4/5x+b and replace x with 0 and y with -3.
⇒ -3=(-4/5)(0) + b
⇒ -3= 0+b
⇒ -3=b 
⇒ b=-3

Now that you have m and b, you can find your final answer in the form y=mx+b
⇒ y=-4/5x + (-3)
⇒ y= -4/5x - 3


6 0
3 years ago
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julsineya [31]

Answer:

-5x^2 +x

Step-by-step explanation:

x(x-2)-3x(2x-1)

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Combine like terms

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A

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in short, you simply pick a few random "x" values, to get the "y", and that's your point, for example say x = 2, then y = -(2)² - 4 => y = -8, that gives us the point of (2, -8), and so on.


we can start off by finding the vertex, the U-turn of the graph, and then just pick a point to its left side and a point to its right side, and we can get the vertex of that by


\bf y=-4x^2-4\implies y=-4x^2+0x-4 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-4}x^2\stackrel{\stackrel{b}{\downarrow }}{+0}x\stackrel{\stackrel{c}{\downarrow }}{-4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{0}{2(-4)}~,~-4-\cfrac{0}{4(-4)} \right)\implies (0~,~-4-0)\implies (0,-4)


and since it's a vertical parabola, the axis of symmetry comes from the x-coordinate of the vertex, namely x = 0, check the picture below.

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