Question

Write the equation in slope-intercept form in each line based on the information give

The line contains the points
(1,-2)and(2,4)

Answer 1

y= 6x -8

Explanation:

Slope-intercept form:

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

`\boxed{gradient = (y1 - y2)/(x1- x2) }`

Gradient

`= (4 - ( - 2))/(2 - 1)`

= 6

y= 6x +c

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

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.