Answer:
∠ XYZ ≈ 66.4°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosY = 
= 
= 
, then
∠ Y = 
( ) ≈ 66.4° ( to 1 dec. place )
Answer:
y = 4x + 12
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 4
y-intercept <em>b</em> = 12
<u>Step 2: Write function</u>
- Substitute [Form]: y = 4x + 12
<span>The first choice is correct.
Explanation<span>:
The formula for slope is m=(y</span></span>₂<span><span>-y</span></span>₁<span><span>)/(x</span></span>₂<span><span>-x</span></span>₁<span><span>). Once we find the slope using that formula, it goes in place of m in y=mx+b.
We do not yet have the y-intercept, but we can use one of the points to find it. We substitute the x-coordinate of one point in for x and the y-coordinate of the same point in for y; then we solve for b. This gives us the y-intercept.</span></span>
