Write the equation of the line that passes through the points left bracket, 3, comma, 0, right bracket(3,0) and left bracket, 8, comma, minus, 2, right bracket(8,−2). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
To find the equation of the line that passes through the points (3,0) and (8,-2), we first need to determine the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1)/(x2 - x1)
Substituting the coordinates of the given points, we have:
m = (-2 - 0)/(8 - 3)
m = -2/5
Now, we can use the point-slope form of a linear equation to obtain the equation of the line passing through the points.
y - y1 = m(x - x1)
Substituting the slope (m) and one of the given points (3,0):
y - 0 = -2/5(x - 3)
y = -2/5(x - 3)
Hence, the equation of the line in point-slope form is y = -2/5(x - 3)