Question

Choose the slope-intercept form of the equation of the line passing through (3,2) with a slope of 2.

y = -2x + 8

y = 2x – 8

y = 2x – 4

y = –2x + 4

none of the answr choices

Answer 1

The slope-intercept form of a line is given by the equation:

\[ y = mx + b \]

where \( m \) is the slope and \( b \) is the y-intercept.

We know the slope \( m = 2 \) and the line passes through the point \( (3, 2) \). We can use this information to find \( b \).

Substituting \( m = 2 \) and the point \( (3, 2) \) into the equation:

\[ 2 = 2(3) + b \]

This simplifies to:

\[ 2 = 6 + b \]

Now, solving for \( b \):

\[ b = 2 - 6 \]
\[ b = -4 \]

So the equation of the line in slope-intercept form is:

\[ y = 2x - 4 \]

Thus, the correct answer is:

**y = 2x - 4**.