Answer:


Step-by-step explanation:
<h3><u>Question 12</u></h3>
Find the slope of the line by substituting two points from the given table into the slope formula.
<u>Define the points</u>:
- Let (x₁, y₁) = (2, 7)
- Let (x₂, y₂) = (3, 13)

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:




<h3><u>Question 17</u></h3>
Given:
Therefore, two points on the line are:
The y-intercept is the y-value when x = 0.
Therefore, the y-intercept of the line is -2.

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:




Therefore, the equation of the line is:

Answer: y = 1/2x - 7
<u>Data</u>
Point = (-4, -9)
slope = m = 1/2
<u>Process</u>
To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.
<u>Equation</u>
y - y1 = m (x - x1)
x1 = -4
y1 = -9
<u>Substitution</u>
y + 9 = 1/2 (x + 4)
<u>Simplification</u>
y + 9 = 1/2x + 4/2
y = 1/2x + 2 - 9
<u>Answer</u>
y = 1/2x - 7
75 = 1 x 75, 3 x 25, or 5 x 15. Factors of 75: 1, 3, 5, 15, 25, 75. Prime factorization: 75 = 3 x 5 x 5, which can also be written 75 = 3 x 5².