Write the equation of the line fully simplified slope-intercept form
Point 1: -10,-8
Point 2: -6,-7
Point 3: -3,-6
Point 4: 0,-5
Point 5: 3,-4
Point 6: 6,-3
Point 7: 9,-2
Point 8: 12,-1
First, we need to find the slope of the line using two of the given points. Let's use (0,-5) and (3,-4):
Slope (m) = (y2 - y1) / (x2 - x1)
= (-4 - (-5)) / (3 - 0)
= 1 / 3
Now, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Using point (0,-5):
y - (-5) = 1/3(x - 0)
y + 5 = 1/3x
To simplify it into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we need to isolate y:
y = 1/3x - 5
So, the equation of the line in slope-intercept form is y = 1/3x - 5.