Answer:
A
Step-by-step explanation:
Plug in the values of each of the coordinate pairs into the linear system.
2x - 8y = 0, -3x - 8y = 20
A)
2*-4 - 8*-1 = 0
- 8 - (-8) = 0 -> CORRECT!
-3x - 8y = 20
-3*-4 - 8*-1 = 20
12 - (-8) = 20 -> CORRECT!
You don't need to try any other pairs, you already know that this is the solution to the problem! Remember, in the future, just plug all the coordinate pairs into the equation. Whichever one makes the equation true is the correct solution! Hope this helps!
Answer:
y - 2 = 36(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 36 and (a, b ) = (4, 2 ) , then
y - 2 = 36(x - 4) ← equation of line
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])
For example:
Slope = 
Perpendicular line's slope = 
or -3
Slope = -2 or 
Perpendicular line's slope = 
The given line's slope is , so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation
9 = -3(1) + b Add 3 on both sides to get "b" by itself
9 + 3 = -3 + 3 + b
12 = b
y = -3x + 12
Answer:
QS = 42 units
Step-by-step explanation:
8x - 51 = 3x - 6
5x = 45
x = 9
(8x - 51) + (3x - 6) = QS
72 - 51 + 27 - 6 = QS
42 = QS
4 miles because 15 x 4 is 60 which is an hour and takes 15 mins to walk 1 mile
