How many solutions does 6(x + 2) = 5(x + 7) have
1 answer:
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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:
Given:
- f(4) = 3
- f(0) = -2
Therefore, two points on the line are:
- (4, -3)
- (0, -2)
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: