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A linear relationship has the point (-15,-190) and its rate of change is 12. What is the y intercept?

User Trigger
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Final answer:

The y-intercept of a line with a point at (-15, -190) and a slope of 12 is found using the point-slope form. After calculation, the y-intercept is determined to be -10.

Step-by-step explanation:

The question asks to find the y-intercept of a line with a given point (-15, -190) and a known rate of change, which is 12. To find the y-intercept, we need to use the point-slope form of a linear equation which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point. Plugging in the values, we get y + 190 = 12(x + 15). To find the y-intercept, set x to 0: y + 190 = 12(0 + 15), which simplifies to y + 190 = 180. Solving for y yields y = 180 - 190, so y = -10. Therefore, the y-intercept of the line is -10.

User IvanH
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