Question

write an equation in slope intercept form of the line that passes through (-1,3) and (0,4)

Answer 1

Answer:

Since slope of line passing through two points (x  

1

​  

,y  

1

​  

) and (x  

2

​  

,y  

2

​  

) is m=  

x  

2

​  

−x  

1

​  

 

y  

2

​  

−y  

1

​  

 

​  

 

We now find the slope of the line passing through the points (2,3) and (4,6) as shown below:

m=  

4−2

6−3

​  

=  

2

3

​  

 

Therefore, the slope of the line is  

2

3

​  

.

Now use the slope and point (2,3) to find the y-intercept.

y=mx+b

⇒3=(  

2

3

​  

×2)+b

⇒3=3+b

⇒b=3−3=0

Write the equation in slope intercept form as:

y=mx+b

⇒y=  

2

3

​  

x+0

⇒y=  

2

3

​  

x

Hence, the equation of the line is y=  

2

3

​  

x..

Step-by-step explanation:

hope it helps

Answer 2

Answer:

y=x+4

Step-by-step explanation:

slope m=(3-4)/(-1-0) = 1

y-4=1(x-0)

y-4=x        

y=x+4        

or

(y-3)=1(x-(-1))

y-3=x+1

y=x+4