Answer:
y = -3.5x + 15
Step-by-step explanation:
Your slope-intercept equation is always y = mx + b
Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)
Step 1: Find slope
m = (1-8) / (4-2)
m = -7/2
Step 2: Plug in into slope-intercept form
y = -3.5x + b
Step 3: Find <em>b </em>(Plug in a coordinate given)
1 = -3.5(4) + b
1 = -14 + b
b = 15
Step 4: Combine it all together
y = -3.5x + 15
And you have your final answer.
Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
Yes good job you are correct