how do you write (5,4) (4,1) in y=mx+b slope intercept form?

Answer 1

Hi there,

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 =} 4-1 = 3 = 3

x₂ - x₁ 5-4 1

The slope of the line is 3.

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

4 = 3• 5 + b

4= 15 + b

4-15 =15 + b - 15

-11 = b

Therefore, the equation of the line will be:

y = 3x - 11