Question

What is the equation of this line in slope-intercept form?

y=-3z +2
y=3x + 2
y=3z - 2
y=-z+2

Answer 1

y= -3x +2

Explanation:

Slope-intercept form:

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

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

* (x1, y1) is the first coordinate and (x2,y2) is the second coordinate.

Let's find the gradient of the line.

`m = (5 - ( - 1))/( - 1 - 1) \\ m = (5 + 1)/( - 2) \\ m = (6)/( - 2) \\ m = - 3`

Substitute m= -3 into the equation:

y= -3x +c

Since y-intercept is at (0, 2), c= 2.

Substitute c= 2 into the equation:

y= -3x +2

The closest option will be the first option. However, since the x-axis is labelled as x not z, the equation should be y= -3x +2 not y= -3z +2.