Question

Write the equation of a line in the given form.

The line through (4,-4) and (0,-5) in SLOPE INTERCEPT form

Answer 1

`y = (1)/(4)x - 5`

Explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (-5 - (-4)) / (0 - 4)

= -1 / -4

= 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

`-5 = (1)/(4)(0) + b`

b = -5

Now use the above slope and y intercept to create equation of a line:

`y = (1)/(4)x - 5`