Answer:
y = -6x + 3
Explanation:
Slope-intercept form: y = mx + b
m = slope
b = y-intercept
Because the x value is increasing while the y value is decreasing, the slope is negative.
To find the slope, first find 2 points on the line:
(-1 , 8) and (0, 2)
Since the y value decreases by 6 in the same amount that the x value increases by 1, the slope is -6.
To find the value of b, locate the point at which the line intersects the y-axis:
(0 , 3)
The y-intercept is the value of y when x = 0. Because the y-intercept is 3, b = 3.
So, to put this into slope-intercept form, plug in the values:
y = mx + b
y = -6x + 2
The equation of the line in slope-intercept form is y = -6x + 2.