Help The sum of two integers is 10. Their difference is 4. What are the two integers?
2 answers:
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Answer:
The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as .
Step-by-step explanation:
A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).
It is asked to find the linear equation which satisfies the given condition.
Step 1 of 3
Determine the slope of the line.
The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,
Substitute 2&4 for and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,
Step 2 of 3
Write the linear equation in point-slope form.
A linear equation in point slope form is given as,
Substitute for m,-1 for
, and 4 for
in the above equation and simplify using the distributive property as follows,
Step 3 of 3
Simplify the equation further.
Add 4 on each side of the equation , and simplify as follows,
This is the required linear equation.
The difference between two numbers are and numbers are
and
so the equation is
How to find the equation and what is the equation ?
equation, statement of equality between two expressions consisting of variables and/or numbers. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.
if the difference of two numbers are
And one number is and another is
So we write the equation with operation of subtraction
Learn more about the equations here :
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