To find the equation of the line, we can use the formula for slope, which is given by
m = (y2 - y1) / (x2 - x1),
where (x1, y1) = (9, 3) and (x2, y2) = (3, 9).
Plugging these values into the formula, we get:
m = (9 - 3) / (3 - 9)
= 6 / (-6)
= -1.
The slope of the line is -1.
We can now use the point-slope form of a line to find the equation. The point-slope form is given by:
y - y1 = m(x - x1),
where (x1, y1) = (3, 9) and m = -1.
Plugging in these values, we get:
y - 9 = -1(x - 3).
Expanding the equation, we get:
y - 9 = -x + 3.
To write the equation in slope-intercept form (solved for y), we can rearrange the equation:
y = -x + 3 + 9,
y = -x + 12.
Therefore, the equation of the line is y = -x + 12.
Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.
Through (9,3 and (3,9)
What is the equation of the line?
1 answer