Question

Write an equation in slope-intercept form for the line that passes through (0,1) and (1,3)

Answer 1

Answer:

y= 2x+1

Step-by-step explanation:

Points:

• (0,1) and (1,3)

Form of the line:

• y=mx+b, m- the slope,  b- y-intercept

Finding the slope:

• m= (y2-y1)/(x2-x1)
• m=(3-1)/(1-0)= 2/1= 2

Line is now:

• y= 2x+b

Using one of the given points to find out the value of b:

• 1=2*0+b
• b=1

So the equation for the line is:

• y= 2x+1