Can this linear system be solved by subtracting one of the original equations from the other? Why or why not
1 answer:
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Answer:
Step-by-step explanation:
The equation for a straight line is
y = mx + b
where m is the slope of the line and b is the y-intercept.
The line passes through the points (-12, 0) and (0, 6)
(a) Calculate the slope of the line
(b) Write the equation
The y-intercept is at x = -6.
The diagram shows the graph of the line passing through the two intercepts.
Answer:
y = -2x + 9
Step-by-step explanation:
The parallel line has an equation of y = -2x + 7;
And its slope is -2.
The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.
Taking another point (x,y) on the line that passes through (4,1):
slope(m) = change in y ÷ change in x
-2 =
Cross multiplying gives;
y - 1 = -2x + 8
y = -2x + 9
The value of n in the given equation is -2.6
Step-by-step explanation:
Given,
10 =
To find the value of n
10 =
or, 10(3n+8) = 2 [ by cross multiplication]
or, 30n + 80 = 2
or, 30n = 2-80 [ taking the constant values in one side]
or, 30n = -78
or, n =
or, n = -2.6