What is the slope of a line that is parellel to y=3x+5?

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

Answer:

Step-by-step explanation:

remember the equation y=m*x+b? well, b and m are both numbers

in this case, m is 3, since 3x= 3*x and b=5.

m is the slope, and b is the y intercept (what y is when x is equal to 0)

a line is parallel if the slope doesn't change but the y intercept changes, aka moving the line up or down. ask me questions in the comment section if you have any

cestrela7 [59]3 years ago

7 0

Answer:

The slope m, is 3

i.e. Y=Mx+c where m is slope

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John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$