Final answer:
To write the equation of a line in slope-intercept form, we need the slope (m) and the y-intercept (b). Given a slope of -1 and a point (-7, -10), the equation of the line is y = -x - 17.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need the slope (m) and the y-intercept (b). The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
Given a slope of -1 and a point (-7, -10), we can substitute the values into the equation y = mx + b.
-10 = -1(-7) + b
-10 = 7 + b
b = -10 - 7 = -17
The equation of the line in slope-intercept form is y = -x - 17.
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