Question

What is the point-slope form of the line with slope −37 that passes through the point (5, 8)?



Responses

y+5=−37(x+8)
y plus 5 equals negative fraction 3 over 7 end fraction left parenthesis x plus 8 right parenthesis

y−5=−37(x−8)
y minus 5 equals negative fraction 3 over 7 end fraction left parenthesis x minus 8 right parenthesis

y−8=−37(x−5)
y minus 8 equals negative fraction 3 over 7 end fraction left parenthesis x minus 5 right parenthesis

y+8=−37(x+5)

Answer 1

The point-slope form of a line is given by the formula:

\[
y - y_1 = m(x - x_1)
\]

where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.

In this case, we have:
- The slope \(m = -37\)
- The point \((x_1, y_1) = (5, 8)\)

Plugging these values into the point-slope formula, we get:

\[
y - 8 = -37(x - 5)
\]

From the options provided, the correct point-slope form is:

\[
y - 8 = -37(x - 5)
\]

So, the correct response is:

**y − 8 = −37(x − 5)**