Final answer:
To write the equation of a line in slope-intercept form, we use the given slope and a point on the line. Then, we plug these values into the equation y - y1 = m(x - x1) and simplify to obtain the slope-intercept form y = mx + b.
Step-by-step explanation:
To write the equation of a line in slope-intercept form (y = mx + b), we need the slope (m) and the y-intercept (b). Given that the line passes through the point (-10, 2) and has a slope of -m, we can substitute these values into the equation.
First, let's calculate the y-intercept (b) using the point-slope form: y - y1 = m(x - x1). Plugging in the values (-10, 2) and the slope -m, we have: y - 2 = -m(x - (-10)).
Simplifying further, we get: y - 2 = -mx - 10m. To arrive at the slope-intercept form, we isolate y by adding 2 to both sides of the equation: y = -mx - 10m + 2.
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