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elena-s [515]
3 years ago
7

You are given a line that has a slope of 4 and passes through the point (3/8, 1/2). Which statements about the equation of the l

ine are true? Check all that apply.
The y-intercept is -1.
The slope-intercept equation is y = 4x - 1.
The point-slope equation is y - 3/8 = 4(x - 1/2).
The Point (3/8, 1/2) corresponds to (x1, y1) in the point-slope form of the equation.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

Step-by-step explanation:

the point-slope form is

y - y1 = a(x - x1)

with "a" being the slope, (x1, y1) being a point on the line.

so, we have here

y - 1/2 = 4(x - 3/8)

simplifying this gives us then the slope-intercept form

y = ax + b

with b being the y-intercept.

so, we get

y - 1/2 = 4x - 4×3/8 = 4x - 3/2

y = 4x - 3/2 + 1/2 = 4x - 2/2 = 4x - 1

so,

the first, second and forth statements are true, the third is false.

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3 years ago
Solve the equation. 2x+1/3+x-1/4=13/2
inessss [21]

The solution of the equation is x = 71 / 36.

<h3>How to solve an equation with one variable</h3>

Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2           Given

2 · x + x = 13 / 2 - 1 / 3 - 1 / 4            Compatibility with addition / Existence of additive inverse / Modulative property

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The solution of the equation is x = 71 / 36.

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4 0
1 year ago
Find the vertex of this parabola: y=-4x^2+8x-12
tatiyna
<span>The vertex of the parabola is the highest or lowest point of the graph. 

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3) 

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square? 
x^2 -2x +1 = (x-1)^2
So
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Replacing to original 
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The min or max point is where the squared part = 0
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This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8
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