What is the slope of the line determined by the coordinates (2, 3) and (-6, -4)?
1 answer:
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Answer:
y = 0.1x - 4
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-3, 7)
Points on the y-axis (y1, y2) = (-7, -6)
First of all, we would find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope = (-6 - (-7))/(7 - (-3))
Slope = (-6 + 7)/(7 + 3)
Slope = 1/10
Slope = 0.1
Next, we would write the equation using the formula;
y - y1 = m(x - x1)
y - (-7) = 0.1(x - (-3))
y + 7 = 0.1(x + 3)
y + 7 = 0.1x + 3
y = 0.1x + 3 - 7
y = 0.1x - 4
The apporoximate length of the RP is 6.1 units, the correct option is B.
<h3>What is Pythagoras theorem?</h3>The Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.
Given
QR is the tangent to circle P at point Q.
QP = 3 units and QR = 5,.3 units
The length of the RP is given by;
Hence, the apporoximate length of the RP is 6.1 units.
To know more about Pythagoras theorem click the link given below.