The point-slope form:

We have the point (1, 6) and the slope m = 7/3. Substitute:
<em>use distributive property</em>
<em>add 6 to both sides</em>
<em>multiply both sides by 3</em>
<em>subtract 7x from both sides</em>
<em>change the signs</em>

Answer:
point-slope form: 
slope-intercept form: 
standard form: 
Answer:
41 units
Step-by-step explanation:
Pythagorean's theorem,
Hypotenuse² = base² + adjacent²
Diagonal² = length² + width²
= 40² + 9²
= 1600 + 81 = 1681
Diagonal = √1681 = 41 units
Answer: Fran's number is 70
Step-by-step explanation:
Let x represent Jen's number.
Let y represent Carrie's number.
Let z represent Fran's number.
When you add their numbers together you get 207. This means that
x + y + z = 207 - - - - - - - - - -1
Jen's number is 9 more than Carrie's number. It means that
y = x - 9
Fran's number is 3 less than Jen's number. It means that
z = x - 3
Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.
x + x - 9 + x - 3 = 207
3x - 12 = 207
3x = 207 + 12 = 219
x = 219/3 = 73
y = x - 9 = 73 - 9
y = 64
z = x - 3 = 73 - 3
z = 70
Pairs of corresponding angles have the same measure.