Question

#2: Write an equation for the line in slope-intercept form.

Answer 1

y = (1/2)x - 3

Explanation:

Slope intercept form:

y = mx + b

m is the slope

b is the y-intercept.

To find the slope, you take two points and plug them into the following formula:

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

Let's use (0, -3) and (4, -1) as our points:

`(-1-(-3))/(4-0)=(2)/(4)=(1)/(2)`

therefore, m = 1/2

we know that the y-intercept (b) is -3.

Put it all together:

y = (1/2)x - 3

Answer 2

y = 1/2x -3

The y intercept is -3 and the slope of the line is 1/2 because you go up one and to the right 2 spaces to get to the next point on the line.

Slope-intercept form

y = mx + b

m is the slope and b is the y-intercept.