9514 1404 393
Answer:
y = -3/8x -23/8
Explanation:
The slope is found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-4 -(-1))/(3 -(-5)) = -3/8
Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For m = -3/8 and (h, k) = (-5, -1), the line is ...
y +1 = -3/8(x +5)
In slope-intercept form, this is ...
y = -3/8x -23/8