Question

What's the equation of a line that passes through points (0, 1) and (2,3)?

Answer 1

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m=y2−y1x2−x1 where m is the slope and the x and y terms are for the points: (x1,y1) and (x2,y2)

For this problem the slope is:

m=3−−12−0

m=3+12

m=42

m=2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y−y1=m(x−x1)

Substituting one of our points gives:

y−−1=2(x−0)

y+1=2x

Solving for y to put this in standard form gives:

y+1−1=2x−1

y+0=2x−1

y=2x−1

Answer 2

Answer:

y = 2x −1

Step-by-step explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m=y2−y1x2−x1 where m is the slope and the x and y terms are for the points: (x1,y1) and (x2,y2)

For this problem the slope is:

m=3−−12−0

m=3+12

m=42

m=2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y−y1=m(x−x1)

Substituting one of our points gives:

y−−1=2(x−0)

y+1=2x

Solving for y to put this in standard form gives:

y+1−1=2x−1

y+0=2x−1

= y = 2x −1

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