Question

comptet the following activity to find the slope of the line passing through the pointe A (3,1) and B (5,3) activity ans​

Answer 1

Answer:

Slope of line if two points are given:

◾Slope of line, if two points are given ,let us assume P(x1 , y 1 ) and Q(x2 , y2 ) are two points, then slope of line joining PQ or line passing through PQ is given by

\begin{gathered}m (slope) = \frac{y2 - y1}{x2 - x1} \\ \end{gathered}

m(slope)=

x2−x1

y2−y1

◾[ m is Stands for slope ]

◾here, note it that ( x2 is not equal to x1)

◾we have the given points areA(3, 1) , B(5, 3)

↪A(3, 1) = ( x1 , y1 )

↪B(5, 3) = ( x2 , y2)

◾substitute this coordinates of points in the above formula for slope

➡\begin{gathered}m(slope) = \frac{3 - 1}{5 - 3} \\ \end{gathered}

m(slope)=

5−3

3−1

➡\begin{gathered}m(slope) = \frac{2}{ 2} \\ \end{gathered}

m(slope)=

2

2

➡\begin{gathered}m(slope) = 1 \\ \end{gathered}

m(slope)=1

◾Therefor the slope of a line passing through the points A(3, 1) and B(5, 3) is

\boxed{\textbf{\large {slope (m) = 1 units }}}

slope (m) = 1 units