Question

find slope of the line passing through (3,5),(4,7)​ what is the slope a line parallel to this line​

Answer 1

The slope of both the lines is 3/2

Step-by-step explanation:

Given:

Points through which line passes = (3,5) , (4,7)

To find:

the slope of the line passing through the given points and the slope of the line parallel to this line

Formula:

slope = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Solution:

The points are (3,5), (4,7)

∴ (3,5)= ($x_{1}$$,y_{1}$),

  (4,7) = ($x_{2} ,y_{2}$)

Putting the values in the formula

∴ slope = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

∴ slope = $\frac{7-4}{5-3}$

∴ slope = $\frac{3}{2}$

The slope of the line passing through points (3,5),(4,7)​ is 3/2

Thus, the slope of the line parallel to this line will also be 3/2

As slopes of parallel lines are equal

Hence, the slope of the line is 3/2 and the slope of a line parallel to that line is also 3/2

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