Question

A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?

Answer 1

Answer:

soln

A=(9,j)

x1=9,y1=j

B=(10,4)

x2=10,y2=4

slope=1

by using the fomulaof slope,

slope=y2-y1/x2-x1

1 =4-j/10-9

1 = 4-j/1

1=4-j

j=4-1

j=3

Answer 2

Answer:

j = 3

Step-by-step explanation:

(9 , j) ; $x_{1}= 9$   and $y_{1} = j$

(10, 4) ; $x_{2} = 10$   and $y_{2} = 4$

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1$

4 - j = 1   {Subtract 4 from both sides}

-j = 1 -4

-j = -3 {Multiply both sides by (-1) }

j = 3