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
The formula for point-slope form is:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of a point on the line, and m is the slope.
To find the slope, we use the formula:
m = (y2 - y1) / (x2 - x1)
where (x2, y2) are the coordinates of another point on the line.
Using the given points (3,0) and (8,-2), we can calculate the slope:
m = (-2 - 0) / (8 - 3) = -2 / 5
Now we can substitute the values into the point-slope formula:
y - 0 = (-2/5)(x - 3)
Simplifying, we get the equation of the line in point-slope form:
y = (-2/5)(x - 3)