How can you write an equation of the line that passes through ( 0,5) (1.5,1)

Answer 1

Given two points, you can write the equation of the line that passes through them by:

1. Calculating the slope, m.

2. Using the point-slope formula to get the equation of your line.

1. First, let us calculate the slope of the line. Slope, m, is the difference in the y-values divided by the difference in the x-values. If you want to use the formula it is:

m = (y₂ - y₁)/(x₂-x₁)

Your first point contains (x₁, y₁) and your second point contains (x₂, y₂)

So, m = (1-5)/(1.5-0)

m = -4/1.5

m = -8/3 * Turn your 1.5 into a fraction, then divide.

2. Now use the Point-Slope Formula to write the equation of your line.

Point-Slope Formula:

y - y₁ = m(x - x₁)

Plug in the values for m, x₁, and y₁ and leave x and y as they are.

y - 5 = (-8/3)(x - 0)

Now, distribute on the right hand side.

y - 5 = (-8/3)x

Last, add 5 to both sides to achieve y = mx+b form and you are done!

y = (-8/3)x + 5 ✓