Question

If the x-intercept (–68, 0), and the y-intercept (0, –34), what is the equation?

Answer 1

Y=-.5x-34

Explanation:

this is because you can do y2-y1/x2-x1 to get slope

-34/68

Which equals one half so currently

Y=-1/2x

To get the y intercept we can look at the number when x=0 so it would be -34. So here is the equation

Y=-.5x-34

Answer 2

y = -
`(1)/(2)` x - 34

the equation of a line in slope-intercept form is

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )

m =
`(-34-0)/(0+68)` =
`(-34)/(68)` = -
`(1)/(2)`

the y-intercept = (0, - 34 ) ⇒ c = - 34

y= -
`(1)/(2)` x - 34