To deliver what is being asked of the given above, solve first for the slope of the line. Given two points the slope is calculated by,
m = (y2 - y1) / (x2 -x1)
m = (14 - 5) / (-2 - 1) = -3
Use the point - slope to write the equation of the line,
y - y2 = m(x - x2)
y - 14 = -3(x - -2)
<em> y = -3x + 8</em>
Therefore, the answer is letter D.
Answer: the correct options are B, D and F
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope = rate of change
Looking at the equations given, the three that apply are
B) slope = 7
y intercept = 4
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
D) y = 9x + 1
slope = 9
y intercept = 1
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
F) y = 8x + 5
slope = 8
y intercept = 5
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
Answer:
3.3m+1.4
Step-by-step explanation:
Multiply 5 and 0.9m
Multiply 5 and 0.5
5 times 0.9m is 4.5m
5 times 0.5 is 2.5
Multiply -3 and 0.4m
Multiply -3 and 0.7
-3 times 0.4m is -1.2m
-3 times -.7 is -2.1
4.5m+ 2.5 -1.2m-2.1
Which is 3.3m+1.4
Hope this helps!
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.