Answer:

Step-by-step explanation:
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 1/2 and -2, etc.)
<u>1) Determine the slope (m)</u>
<u />
Looking at the given line, we can identify clearly that -1 is in the place of m, making it the slope of the line. Because perpendicular lines have slopes that are negative reciprocals of each other, we know that the slope of the line we're solving for is 1. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (4,1)

Subtract 4 from both sides

Therefore, the y-intercept is -3. Plug this back into
:

I hope this helps!
Answer: y =
x−3
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
Step-by-step explanation:
It's correct. Clear
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
- This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.
2. (Solving)
Step 1: Combine like terms.
Step 2: Subtract 20 from both sides.
Step 3: Subtract 5x from both sides.
Step 4: Check if solution is correct.
3. Now, let's plug in 15 for 6x + 20:
Therefore, m∠QPT = 110°.