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 parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
Answer:
56°
Step-by-step explanation:
Since triangle ABD and triangle CBD are congruent (SAS), so you can divide m∠ABC by 2 to get the m∠ABD and m∠CBD, or 56°.
Answer:
The 4th term of the linear sequence = 3
Step-by-step explanation:
First term, a = -9
Common difference, d = -5 - (-9)
= -5 + 9
= 4
d = 4
The 4th term of the linear sequence = a + (n - 1)d
where,
n = 4
a + (n - 1)d
= -9 + (4 - 1)4
= -9 + (3)4
= -9 + 12
= 3
The 4th term of the linear sequence = 3
Answer:
Correct choice is D
Step-by-step explanation:
Given the system of two equations:
Fro mthe first equation
Substitute into the second equation 
instead of y:
Note that 
then the second equation will take look
