What is the equation of the line that contains the points (3, 5) and (7, 9)?

Answer 1

Hi Romina,

You can use these points to determine the slope of the line and then write the equation in slope -intercept form: y = mx + b where m is the slope of the line and b is the y-intercept.

The slope, m, can be determined using the coordinates of the two points that lie on the line:

m= y₂ - y_{1 =} 9 - 5 = 4 = 1

x₂ - x₁ 7-3 4

The slope of the line is 1.

Now we can use the coordinates of one of the points and substitute the values into the equation to find the y-intercept, b. Either point is fine to use because they both are located on the same line.

y = mx + b

9 = 1• 7 + b

9= 7 + b

9-7 = 7 + b - 7

2 = b

Therefore, the equation of the line will be:

y = 1x + 2