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andrew11 [14]
3 years ago
5

Find the y and the x intercepts of the graph of the equation of y=3x+1

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

x-intercept ⇨ -1/3

y-intercept ⇨ 1

Step-by-step explanation:

⟺ Finding the x-intercept, substitute y = 0

y=3x+1\\0=3x+1\\3x+1=0\\

Move 1 to subtract the another side.

3x=-1

Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.

x=-\frac{1}{3} #

⟺ Finding the y-intercept, substitute x = 0

y=3x+1\\y=3(0)+1\\y=0+1

y=1 #

Tips:

Here's the tips about finding the intercepts of the graph.

⟺ For x-intercept, It's like solving an equation to find the x-term.

⟺ For y-intercept, It's like using the constant to answer.

As for y = mx+b where m = slope and b = y-intercept.

For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.

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Read 2 more answers
B.
Helen [10]

Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

7 0
3 years ago
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