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Part C: they are parallel to the first two lines
We already know that the line's slope is m= 43. Since the given point, (0,- 2), is on the y-axis, we also know that b= - 2. Let's substitute these values into slope-intercept form. y= 4/3x+( - 2) ⇔ y=4/3x-2 To graph this equation, we will start at the y-intercept, (0,2), and then use the line's slope to plot a second point. When we have two points, we can draw the line.
Since the vertical and horizontal translation mimics the rise and run of the line's slope, the points will inevitably travel along the original line. Therefore, the equation for this line is identical to the line from Part A. y=4/3x-2
The translated line has the same slope but a y-intercept that is 5 units below that of the original line. With this information, we can write its equation. y=4/3x-7
x= 12, y= 7
a/c* b = a* b/c
Calculate quotient
LHS+9=RHS+9
Rearrange equation