Sophie's current balance in her checking account is $125.89. What is the final balance after the above transactions were complet
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The factored form of 10xy - 15y is 5y(2x - 3)
<em><u>Solution:</u></em>
Given that, we have to write the given expression in factored form
<em><u>Given expression is:</u></em>
10xy - 15y
To find the factored form, let us first find the greatest common factor of 10 and 15
The factors of 10 are: 1, 2, 5, 10
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 5
Thus, factor out 5 from given expression
Now factor out the common term "y"
Thus the factored form is found
Answer: slope= 1
Step By Step: Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
