Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y = 
x + 
← in slope- intercept form
with m =
• Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - + c ⇒ c = 2 + = 
y = x + ← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
Answer:
4x^2 + 9x + 4 = 0
Using the quadratic formula:
x = [-9 +- sqrt(81 - (-64)] / 2 * 4
x = [-9 +- sqrt (145)] / 8
So, the solution is your second answer:
negative 9 plus or minus the square root of 145 divided by 8.
Answer:
3. angles forming a linear pair to sum to 180
4. Def of supplementary angles
9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
__
1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
480 is the answer i hope it is correct
