Answer:
A) slope = 2, y-intercept = -6
B) slope = -4, y-intercept = 6
Step-by-step explanation:
A) y = 2x - 6
The equation for a line is y = mx + b, where <em>m</em> represents the slope, and <em>b</em> represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.
Here, the <em>m </em>is 2, so the slope is 2
The <em>b</em> is -6, so the y-intercept is -6
B) y = -4x + 6
Here, the <em>m</em> is -4, so the slope is -4
The <em>b </em>is 6, so the slope is 6
You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.
The number of visits Liam can make to earn his first free movie ticket is: 8.4.
<h3>
Number of visits Liam can make</h3>
Let x represent the number of visits
Formula
55+12.5×x=160
Re-arrange
12.5x=160-55
12.5x=105
Divide both side by 12.5x
x=105/12.5
x=8.4 visits
Therefore the number of visits Liam can make to earn his first free movie ticket is: 8.4.
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Answer:
4p +2
Step-by-step explanation:
(2p + 1)(2)
Distribute
2p * 2 + 1*2
4p +2