Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Writing Equations in Point-Slope Form
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Exercise 38 Page 176

Practice makes perfect
a When we draw an imaginary line through these points it will cut the x-axis between 0 and 2 and again cut the y-axis at a point below the x-axis. Therefore, it appears to have a negative y-intercept.
b The first point is at x=4 and its vertical distance from x-axis is quite close to 2. We can approximate it to be 1.8, giving us the coordinates (4,1.8). Following a similar reasoning, the second point is on (8,4). Let's find the slope of the line that passes through them.
m = y_2-y_1/x_2-x_1
m=4- 1.8/8- 4
â–Ľ
Simplify right-hand side
m=2.2/4
m=22/40
m=11/20
A slope of 1120 means if we take 20 steps to the right, the graph increases by 11 steps. Conversely, if we take 20 steps to the left, we would have to go down by 11 steps to get to another point.