Find the value of x, if the slope of the line joining (2,5),(x,3) is 2. calculator

SolutionMethods

1. If slope of the line joining points

A(x,0),B(-3,-2) $A(x,0), B(-3,-2)$ is

27 $2/7$ , find the value of

x $x$

2. If slope of the line joining points

A(2,x),B(-3,7) $A(2,x), B(-3,7)$ is

1 $1$ , find the value of

x $x$

3. If slope of the line joining points

A(x,5),B(-1,2) $A(x,5), B(-1,2)$ is

34 $3/4$ , find the value of

x $x$

4. If slope of the line joining points

A(2,5),B(x,3) $A(2,5), B(x,3)$ is

2 $2$ , find the value of

x $x$

5. If slope of the line joining points

A(x,2),B(6,-8) $A(x,2), B(6,-8)$ is

-54 $-5/4$ , find the value of

x $x$

6. If slope of the line joining points

A(-2,x),B(5,-7) $A(-2,x), B(5,-7)$ is

-1 $-1$ , find the value of

x $x$

7. If slope of the line joining points

A(2,3),B(x,6) $A(2,3), B(x,6)$ is

35 $3/5$ , find the value of

x $x$

8. If slope of the line joining points

A(-3,4),B(5,x) $A(-3,4), B(5,x)$ is

-54 $-5/4$ , find the value of

x $x$

9. If slope of the line joining points

A(0,x),B(5,-2) $A(0,x), B(5,-2)$ is

-95 $-9/5$ , find the value of

x $x$

Example

1. If slope of the line joining points A(x,0),B(-3,-2) $A(x,0), B(-3,-2)$ is 27 $2/7$ , find the value of x $x$

Solution:
Points are

(x,0),(-3,-2) $(x,0),(-3,-2)$ and Slope

=27 $=2/7$

$:. x_1=x,y_1=0,x_2=-3,y_2=-2,m=2/7$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. 2/7=(-2)/(-3-x)$

$:. 2/7*(-3-x)=-2$

$:. -3-x=-2*7/2$

$:. -3-x=-7$

$:. x=-3+7$

$:. x=4$

2. If slope of the line joining points $A(2,x), B(-3,7)$ is $1$ , find the value of $x$

Solution:
Points are

$(2,x),(-3,7)$ and Slope

$=1$

$:. x_1=2,y_1=x,x_2=-3,y_2=7,m=1$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. 1=(7-x)/(-3-2)$

$:. 1=(7-x)/(-5)$

$:. 1*-5=7-x$

$:. -5=7-x$

$:. x=7+5$

$:. x=12$

3. If slope of the line joining points $A(x,5), B(-1,2)$ is $3/4$ , find the value of $x$

Solution:
Points are

$(x,5),(-1,2)$ and Slope

$=3/4$

$:. x_1=x,y_1=5,x_2=-1,y_2=2,m=3/4$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. 3/4=(2-5)/(-1-x)$

$:. 3/4*(-1-x)=-3$

$:. -1-x=-3*4/3$

$:. -1-x=-4$

$:. x=-1+4$

$:. x=3$

4. If slope of the line joining points $A(2,5), B(x,3)$ is $2$ , find the value of $x$

Solution:
Points are

$(2,5),(x,3)$ and Slope

$=2$

$:. x_1=2,y_1=5,x_2=x,y_2=3,m=2$

Slope

$m = (y_2-y_1)/(x_2-x_1)$

$:. 2=(3-5)/(x-2)$

$:. 2=(-2)/(x-2)$

$:. 2*(x-2)=-2$

$:. x-2=-2/2$

$:. x=-1+2$

$:. x=1$

5. If slope of the line joining points $A(x,2), B(6,-8)$ is $-5/4$ , find the value of $x$

Solution:
Points are

$(x,2),(6,-8)$ and Slope

$=-5/4$

$:. x_1=x,y_1=2,x_2=6,y_2=-8,m=-5/4$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. -5/4=(-8-2)/(6-x)$

$:. -5/4*(6-x)=-10$

$:. 6-x=-10*-4/5$

$:. 6-x=8$

$:. x=6-8$

$:. x=-2$

6. If slope of the line joining points $A(-2,x), B(5,-7)$ is $-1$ , find the value of $x$

Solution:
Points are

$(-2,x),(5,-7)$ and Slope

$=-1$

$:. x_1=-2,y_1=x,x_2=5,y_2=-7,m=-1$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. -1=(-7-x)/(5+2)$

$:. -1=(-7-x)/(7)$

$:. -1*7=-7-x$

$:. -7=-7-x$

$:. x=-7+7$

$:. x=0$

7. If slope of the line joining points $A(2,3), B(x,6)$ is $3/5$ , find the value of $x$

Solution:
Points are

$(2,3),(x,6)$ and Slope

$=3/5$

$:. x_1=2,y_1=3,x_2=x,y_2=6,m=3/5$

Slope

$m = (y_2-y_1)/(x_2-x_1)$

$:. 3/5=(6-3)/(x-2)$

$:. 3/5=(3)/(x-2)$

$:. 3/5*(x-2)=3$

$:. x-2=3*5/3$

$:. x=5+2$

$:. x=7$

8. If slope of the line joining points $A(-3,4), B(5,x)$ is $-5/4$ , find the value of $x$

Solution:
Points are

$(-3,4),(5,x)$ and Slope

$=-5/4$

$:. x_1=-3,y_1=4,x_2=5,y_2=x,m=-5/4$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. -5/4=(x-4)/(5+3)$

$:. -5/4=(x-4)/8$

$:. -5/4*8=x-4$

$:. x-4=-10$

$:. x=-10+4$

$:. x=-6$

9. If slope of the line joining points $A(0,x), B(5,-2)$ is $-9/5$ , find the value of $x$

Solution:
Points are

$(0,x),(5,-2)$ and Slope

$=-9/5$

$:. x_1=0,y_1=x,x_2=5,y_2=-2,m=-9/5$

Slope

$=m=(y_2-y_1)/(x_2-x_1)$

$:. -9/5=(-2-x)/(5)$

$:. -9/5*5=-2-x$

$:. -9=-2-x$

$:. x=-2+9$

$:. x=7$