Answer:
58/15
Step-by-step explanation:
Step 1: Convert words into an expression
6 and 2 thirds minus 2 and 4 fifths
6 2/3 - 2 4/5
Step 2: Make common denominator aka 15
6 2/3 = 6*3/3 + 2/3 = 18/3 + 2/3 = 20/3
20*5 / 3*5 = 100/15
2 4/5 = 2*5/5 + 4/5 = 10/5 + 4/5 = 14/5
14*3 / 5*3 = 42/15
Step 3: Subtract
100/15 - 42/15
58/15
Answer: 58/15
To find the steepness of the graph we need to find the slope of the graph.
The slope is the inclination of the graph from the x-axis, for a straight line we define the slope, for a curve at a point we define the slope of its tangent as the slope of the curve.
To find the slope of the graph, we find the angle the line makes from the x-axis and then find the tangent of the angle, so the slope or the steepness can be found by either using the points that the line passes through or finding the derivative of the curve at that certain point and we get the slope of the graph.
Learn more about slope/steepness here
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Answer:
y = -15x - 6
Step-by-step explanation:
To rewrite the function 5x + 1/3y = -2 in slope-intercept form, we first isolate 'y' and then multiply by 3 to get y = -15x -6.
The given linear function is 5x + 1/3y = -2. To rewrite this in slope-intercept form, i.e., y = mx + b, where m is the slope and b is the y-intercept, we apply some algebraic manipulations:
The process we just followed is called converting a linear equation to slope-intercept form.
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Option D: is the point of intersection of the two lines.
Explanation:
The two equations are and
We need to find the point of intersection of the two lines.
Thus, let us solve the equation by substitution method.
From the equation , we shall determine the value of y, by adding both sides of the equation by 6x.
Hence, we have,
Now, substituting in the equation , we get,
Substituting in the equation , we get,
Thus, the point of intersection of the two lines is
Therefore, Option D is the correct answer.