Answer: A
Step-by-step explanation:
Answer: The answer is d. 64 units
We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
Answer: The second choice is correct: slope is 3/4, y-intercept is 1
Step-by-step explanation: The y-intercept is where the line crosses the y-axis.
Look for places where the line intersects the grid at "cross-points" like (-4,-2) (0,1) and (4,4)
The slope is rise/run.
The difference in y-values is the rise. 4-1=3 1-(-2) is 3.
The rise is 3.
The difference in x-values is the run. 4-0=4 0-(-4) = 4
The run is 4
Rise/run = 3/4 That is the slope.
