Question

The line of best fit for a scatter plot is shown: What is the equation of this line of best fit in slope-intercept form?

y=-1/2*+8
y=-2x + 8
y=-8x + 1/2
y=-8x +2

Answer 1

`y=- (1)/(2)x+8`

for x = 0 => y = 8
for x = 6 => y = 5

Answer 2

First find the slope.

We know these two points are in the line: (0,8) and (6,5)


`\sf Slope = (y_2-y_1)/(x_2-x_1) = (8-5)/(0-6) = (3)/(-6) = \boxed{-(1)/(2)}`

The slope is -1/2. The y-intercept can be found when x = 0. And we know that the point (0,8) is on the line and x = 0, therefore the y-intercept is 8.

Plugging this into the slope-intercept form which is

y = mx + b, where m is the slope and b is the y-intercept, we get:

y = (-1/2)x + 8