using the coordinates of the given point, then determine the value of b.
Using the above technique, find the equation of the line containing the points (- 4,8) and (2, - 1).
The equation of the line is
(Simplify your answer Type your answer in slope-intercept form)
To find the equation of the line, we first need to find the slope of the line. The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Let's use the coordinates (-4,8) and (2,-1) to calculate the slope:
m = (-1 - 8) / (2 - (-4))
= (-9) / 6
= -3/2
Now that we have the slope (-3/2), we can substitute it along with one of the given points (let's use (-4,8)) into the slope-intercept form of a linear equation:
y = mx + b
8 = (-3/2)(-4) + b
8 = 6 + b
b = 8 - 6
b = 2
Therefore, the value of b is 2. The equation of the line is:
y = (-3/2)x + 2