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Rufina [12.5K]
2 years ago
7

Identify the slope intercept equation of a line that has a

Mathematics
1 answer:
Vika [28.1K]2 years ago
3 0
The correct answer is the third option:
Y = 5x - 2

In the slope-intercept form, y = mx + b:
m = slope (steepness of the line; the rate of change)
b = y-intercept (the point on the graph where the line crosses the y-axis, and has coordinates of (0, b)).

Given these definitions:
Since your slope = 5
and the y-intercept has coordinates of (0, -2), the -2 represents the “b” in the slope-intercept form.

Therefore, the linear equation is y = 5x - 2.
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Solve and write solution in interval notation 4(x+1)+3>x-5
soldi70 [24.7K]

Answer:

\large\boxed{x\in\left(-\dfrac{13}{3},\ \infty\right)}

Step-by-step explanation:

4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-\dfrac{13}{3}\to x\in\left(-\dfrac{13}{3},\ \infty\right)

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3 years ago
What is the value of x?
vivado [14]
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7 0
3 years ago
Read 2 more answers
Find the area of the circle. Round to the nearest whole number
GuDViN [60]

Hello!

\mathcal{GIVEN:}

  • Diameter of the circle = 12 cm

\mathcal{TO\:FIND:}

Area of the Circle

\mathcal{SOLUTION:}

A=πr²

Hey! We have the diameter, not the radius.

Don't panic. In order to find the radius, we should divide the diameter by 2.

So, the radius is 6.

Plug it into the formula:

A=π(6)²

A=π(36)

A≈113 cm

Hope it helps!

Good luck and enjoy your day!

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2 years ago
Al and Barb start their new jobs on the same day. Al's schedule is 3 work-days followed by 1 rest-day. Barb's schedule is 7 work
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3 years ago
Find the slope of a line that passes through the following points<br> (-1,-5), (3,-3)
svet-max [94.6K]

Answer:

m=\frac{1}{2}

Step-by-step explanation:

defition of  slope(m) of a line:

m=\frac{Y_b-Y_a}{X_b-X_a}

A=(-1,-5)=(Xa,Ya)  then Xa= -1 and Ya= -5

B=(3,-3)=(Xb,Yb) then  Xb=3 and Yb= -3

m=\frac{-3-(-5)}{3-(-1)} \\\\m=\frac{-3+5}{3+1} \\\\m=\frac{2}{4} \\\\m=\frac{1}{2}

8 0
2 years ago
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