Answer:
y = 6x - 12
Step-by-step explanation:
In order to find the equation of the line in slope-intercept form, y = mx + b, we need to find the slope and the y-intercept of the given graph.
Given points (2, 0) and (0, -12)
Let (x1,y1) = (2, 0)
(x2, y2) = (0, -12)
We can use the following slope formula to find the slope of the line:
m = (y2 - y1)/(x2 - x1)
m = (-12 - 0)/(0 - 2)
m = -12/ -2
m = 6
Therefore, the slope (m) of the line is 6.
Next, we need to determine the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis, and has the coordinate (0, <em>b</em>). If you look at the graph, the line crosses at point (0, -12), which is also on of the points that we used earlier to solve for the slope. The y-coordinate of (0, -12) is the y-intercept (b). Thus, the y-intecept (<em>b</em>) = -12.
Therefore, the linear equation of the given graph is:
y = 6x - 12
Answer:
8
Step-by-step explanation:
Answer:
m<BCD is 62 degrees
Step-by-step explanation:
From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;
Hence;
m<CAB = m<CBA
Also
m<CAB + m<CBA = m<BCD
31 + 31 = m<BCD
Swap
m<BCD = 31 + 31
m<BCD = 62 degrees
hence the measure of m<BCD is 62 degrees
Answer:
24
Step-by-step explanation:
Answer:
p = -3.5
Step-by-step explanation:
Simplifying
9 + -4(2p + -1) = 41
Reorder the terms:
9 + -4(-1 + 2p) = 41
9 + (-1 * -4 + 2p * -4) = 41
9 + (4 + -8p) = 41
Combine like terms: 9 + 4 = 13
13 + -8p = 41
Solving
13 + -8p = 41
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-13' to each side of the equation.
13 + -13 + -8p = 41 + -13
Combine like terms: 13 + -13 = 0
0 + -8p = 41 + -13
-8p = 41 + -13
Combine like terms: 41 + -13 = 28
-8p = 28
Divide each side by '-8'.
p = -3.5
Simplifying
p = -3.5
