Question

Write the equation of the line fully simplified slope intercept form

Answer 1

Y=-5x-5
Find the gradient (m) using 2 random coordinates and the equation m=y2-y1/x2-x1 which is -5 in this case.
Find the y-intercept (c) by seeing where the line intercepts the y-axis which is -5 in this case.
Sub these numbers into ‘slope-intercept form’ which is y=mx+c.

Answer 2

y = - 5x - 5

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 ) = (- 1, 0) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line

m =
`(-5-0)/(0+1)` = - 5

The line crosses the t- axis at (0, - 5) ⇒ c = - 5

y = - 5x - 5 ← equation of line