How would you describe the tick marks on the number line between the tenths?
1 answer:
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<h2>Answer:</h2>
y = 2
<h2>Step-by-step explanation:</h2>To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
<h3>Finding the Slope of the line:</h3><u>Substitute the coordinates of the given points:</u>
<u>Simplify the equation to determine the slope:</u>
∴ 0 divided by ANY number is ALWAYS 0.
Point slope form formula: y - y₁ = m(x - x₁)
- x₁ and y₁ are the coordinates of any given point.
- m is the slope
<u>Substitute the values in the point slope form:</u>
<u>Simplify the equation to determine the equation of the line:</u>
∴ Any number multiplied by 0 is 0.
Thus, the equation of the line is y = 2.
The system of equations has infinite solutions.
<h2>Given to us,</h2>The value of y is already given in equation 1,
substituting the value of y in equation 2,
The solution of the two equations is 0. Also, we can see that both the equations are in ratio.
Further, the image also shows that the line of the two equations are coinciding.
Hence, the system of equations has infinite solutions.
Learn more about System of solutions:
