So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.
Slope of perpendicular lines is the opposite sign and the reciprocal of the other.
So if your slope was 2 the perpendicular line would have a slope of -1/2.
So the equation, 2x + y = 3
Can be rewritten as
y= -2x+3
Perpendicular slope: 1/2
Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.
y=mx+b
4=1/2(5)+b
Solve for b (y intercept)
4-2.5=b
1.5=b
So the equation of the perpendicular is
y=1/2x+3/2 or y=.5x+1.5
9514 1404 393
Answer:
(1) x(2/3) = y
(2) 27
(3) 8
(4) 9
Step-by-step explanation:
The first line of the table tells you how to fill in the second line. Use the x and y values from the third line to write (y/x) = (2/3). This gives you the equation ...
x(2/3) = y . . . . line (1)
For the remainder of the table, you can use the given value compared to the value in line 3 to see what the multiplier is for the other value.
(2): The multiplier is 18/2 = 9, so the missing x-value is 3×9 = 27.
(3): The multiplier is 12/3 = 4, so the missing y-value is 2×4 = 8.
(4): The multiplier is 6/2 = 3, so the missing x-value is 3×3 = 9.
Answer:
i) (0, 2) and (1, 2), ii) (0.333, 1.333) and (1, 2).
Step-by-step explanation:
i) Let be
, if
, which is equivalent to the following system of equations:


Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0, 2) and (1, 2)
ii) Let be
, if
, which is equivalent to the following system of equations:


Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0.333, 1.333) and (1, 2)
Answer:
-4/2
Step-by-step explanation:
cout the boxes over and then the boxes up