Question

Does anybody know how to do this?

Answer 1

y = - 4x + 1

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (1, - 3) ← 2 points on the line

m =
`(-3-1)/(1-0)` =
`(-4)/(1)` = - 4

since the line crosses the y- axis at (0, 1 ) then y- intercept c = 1

y = - 4x + 1 ← equation of line