Question

What is the Line that passes through (2,0) and (0,1)

Answer 1

Y = -1/2x + 1

Steps:

1. Find the slope of the given points using the
slope formula:
m= (y2-y1) / (x2-x1)

m= (1-0) / (0-2)

m= - 1/2

2. Take the slope from step 1 and either one of
the points and put into point-slope form:
y-y1 = m(x-x1)

m= - 1/2 point: (2,0)

y-0 = -1/2 (x- 2)

3. Distribute.

y = -1/2x +1

Answer 2

To find the slope you use the equation:

m = (y₂-y₁) ÷ (x₂-x₁)

You plug in the two points into this equation to find m (m is the slope)

m = (1 - 0) ÷ (0 - 2)

m = 1 ÷ (-2)

m = - 1/2

Next you use this equation:

y = mx + b

Because you know m you plug it in.

y = -1/2x + b

Now you need to find b. To do so you plug in either of the points into this equation(you come out with the same answer for b)

y = -1/2x + b

1 = -1/2(0) + b

1 = b

Finally you plug in b and you get your new equation.

y = -1/2x + 1