A line passes through the point (-3,-3) and has a slope of 1/2 what is the equation of the line ?

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

y = 1/2x -1.5

Step-by-step explanation:

The equation of a line is typically written as y = mx + b.

m is the slope of the line, while b is the y-intercept. y is the y-coordinate and x is the x-coordinate.

Since it indicated that the line has a slope of 1/2, we can substitute the m in the equation with 1/2.

y = 1/2x + b

In order to find the intercept of the line, we use the equation of a line to substitute the y-coordinate and x-coordinate of (-3,-3) to discover the y-intercept of b.

-3 = 1/2(-3) + b

One half of -3 is -1.5.

-3 = -1.5 + b

Add -1.5 to both sides of the equation.

-3 = -1.5 + b

+1.5 +1.5

-1.5 = b

Since we found the y-intercept, we can now place it into our equation.

y = 1/2x -1.5 and that's the answer!

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Edward is driving a car on the highway. He drives for 28.5 miles in 3/8 of an hour. At this rate, how much distance can he cover

Rom4ik [11]

The distance covered in one hour is 76 miles.

Step-by-step explanation:

Edward drives a car for 28.5 miles.

Therefore, the distance he travels by the car = 28.5 miles.

The time it takes to drive 28.5 miles is 3/8 of an hour.

The formula to find the rate :

Rate = Distance traveled / Time taken in hours.

Here, the distance is 28.5 miles and time is 3/8 hour.

Rate = $28.5/ (3/8)$

To find the distance covered in 1 hour :

Let us assume, 'x' be the distance covered in one hour.

Rate = $x/1$

Now, comparing the rates to find the x value :

⇒ $28.5 / (3/8) = x /1$

⇒ $x = 28.5 \times 8/3$

⇒ $x = 228/3$

⇒ $x = 76$

Therefore, the distance covered in one hour is 76 miles.

4 0

3 years ago

What is the equation with a slope of 0 that has a point of (6,-11)?

lianna [129]

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