Lines A and B are parallel. Lines A and B apre perpendicular to Line C.
Change all of the lines from standard form to slope-intercept.
Line A: y = 4/3x + 2/3
Line B: y = 4/3x + 2
Line C: y = -3/4x + 1
Since A and B have the same slope they are parallel. C has a negative reciprocal so it's perpendicular.
Answer: The required x-intercept of the given line is 
Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :
We know that
x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.
Substituting y = 0 in equation (i), we get
Thus, the required x-intercept of the given line is
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
Answer:
(m) increased, (b) unchanged. g(x)
(m) decreased, (b) unchanged. m(x)
(m) unchanged, (b) increased. h(x)
(m) unchanged, (b) decreased. n(x)
f(x): m = -1/2 b = 2
g(x): m = 1/3 b = -3
h(x): m = 2 b = 0
