The linear equation in slope-intercept form passing through the point (-5,-3) with a slope of -3/5 is:
y = -3/5x - 6
This can be found using the following steps:
1. Substitute the point (-5,-3) into the slope-intercept form equation:
y = mx + b
-3 = -3/5(-5) + b
2. Solve for b, the y-intercept:
-3 = 3 + b
b = -3 - 3
b = -6
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3. Substitute -6 for b in the slope-intercept form equation:
y = -3/5x - 6
Therefore, the linear equation in slope-intercept form passing through the point (-5,-3) with a slope of -3/5 is y = -3/5x - 6.