Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
C is right rjfjdkwjwkwwowowkkskskwwkksskkddje
Answer:
B
Step-by-step explanation:
Figure A
2(8*4 + 4*4 + 4*8)
160
Figure B
6*4^2
96
Answer: x= 12/5 or 2 2/5
Step-by-step explanation:
17. y = -2/3x + 2
2/3x + y = 2
2x + 3y = 6 <==
18. y = 3x + 7....slope is 3. A parallel line will have the same slope.
y = mx + b
slope(m) = 3
(2,10)...x = 2 and y = 10
now sub and find b, the y int
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
so ur equation is : y = 3x + 4 <===
19. - 5x + 10y = 5
10y = 5x + 5
y = 1/2x + 1/2...slope is 1/2
y = -2x + 4....slope is -2
1/2 and -2 are negative reciprocals of each other....so ur lines are perpendicular
20. y = -1/4x + 8....slope is -1/4
-2x + 8y = 4
8y = 2x + 4
y = 1/4x + 1/2...slope here is 1/4
different slope and different y intercepts ...neither parallel or perpendicular
21. slope in the equation is 8/3. A perpendicular line will have a slope of -3/8.
y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)...x1 = -2 and y1 = 3
now we sub
y - 3 = -3/8(x - (-2) =
y - 3 = -3/8(x + 2) <==