Answer:
a. y = 3x - 11
b. y = -1/3 x - 1
Step-by-step explanation:
The line on the graph increases by 3 every time it moves over 1. This means that the slope of the given line is 3.
a. When 2 equations are parallel, their slopes are the same, so the slope of this equation will be 3. To find the y-intercept, plug in the values of the slope and the given point (3, -2) into the equation y = mx + b:
-2 = 3(3) + b
-2 = 9 + b
-11 = b
The y-intercept is -11. Now we can write our equation:
y = 3x - 11
b. When 2 lines are perpendicular, their slopes are negative reciprocals. The negative reciprocal of 3 is -1/3. We can use the slope and the given point (3, -2) to find the y-intercept:
-2 = -1/3(3) + b
-2 = -1 + b
-1 = b
The y-intercept is -1. Now we can write our equation:
y = -1/3x - 1
Hope this helps :)
