Question

A line has a slope of -1.5 and a y-intercept of (0,3) What is the value of y when x=6?

Answer 1

`y=-6`

Explanation:

We first require to establish the relationship between x and y.

The equation of a line in `color(blue)"slope-intercept form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`
where m represents the slope and b, the y-intercept.

`"here " m=-1.5" and " b=3`

`rArry=-1.5x+3" is the equation connecting x and y"`

We can now calculate the value of y when x = 6

`x=6toy=(-1.5xx6)+3=-9+3=-6`