Question

Type the slope-intercept equation

of the line that passes through
the points (-1,3) and (2,-3).
y = [? ]x + [ ]

Answer 1

y= -2x +1

Explanation:

slope- intercept form:

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient=
`(y1 - y2)/(x1 - x2)`

`m = ( - 3 - 3)/(2 - ( - 1)) \\ m = ( - 6)/(2 + 1) \\ m = ( - 6)/(3) \\ m = - 2`

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.