Questions: A line has a slope of 2 and passes through the point (-1,5). Match each value with the variable it represents in point-slope form: y - y1 = m(x - x1) -1 5 2 m x1 y1

Solution Steps

To match each value with the variable it represents in the point-slope form of a line equation, we need to identify the slope (m) and the coordinates of the point \((x_1, y_1)\) through which the line passes.

Given:

• Slope (m) = 2
• Point \((x_1, y_1)\) = (-1, 5)

We can match the values as follows:

• m = 2
• \(x_1\) = -1
• \(y_1\) = 5

The slope of the line is given as \( m = 2 \). The line passes through the point \( (x_1, y_1) = (-1, 5) \).

Using the point-slope form of the line equation \( y - y_1 = m(x - x_1) \), we can match the values:

• The slope \( m \) corresponds to \( 2 \).
• The \( x \)-coordinate of the point \( x_1 \) corresponds to \( -1 \).
• The \( y \)-coordinate of the point \( y_1 \) corresponds to \( 5 \).

Final Answer