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What is the y-intercept of the line passing through the point (5,-6) with a slope of -47?

A. 0
B. 37
C. 7
D. 47

User Summerbulb
by
7.7k points

1 Answer

4 votes

Final answer:

The y-intercept can be found using the point-slope formula and substituting the given values. The y-intercept of the line passing through the point (5,-6) with a slope of -47 is 229.

Step-by-step explanation:

The y-intercept of a line represents the value of y when x is equal to 0. To find the y-intercept of the line passing through the point (5,-6) with a slope of -47, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Plugging in the values (5,-6) and -47 into the equation, we get: y - (-6) = -47(x - 5)

Simplifying, we have: y + 6 = -47x + 235

To find the y-intercept, we set x equal to 0 and solve for y: y + 6 = -47(0) + 235

y + 6 = 235

y = 229

Therefore, the y-intercept of the line is 229.

User Julio CamPlaz
by
7.8k points

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