Question

A) A line with passes through the point . What is the equation of the line in
slope-intercept form? (1 point)
m = 4 (−7, −2)
y = −4x − 30
y = −4x − 2
y = 4x − 7
y = 4x + 26

Answer 1

To find the equation of the line in slope-intercept form (y = mx + b), we need to use the given point (-7, -2) and the slope \( m = 4 \).

1. Start with the slope-intercept form:
\[ y = mx + b \]

2. Plug in the slope \( m = 4 \):
\[ y = 4x + b \]

3. Now we need to find \( b \) using the point (-7, -2). Substitute \( x = -7 \) and \( y = -2 \) into the equation:
\[ -2 = 4(-7) + b \]

4. Calculate \( 4(-7) \):
\[ -2 = -28 + b \]

5. Now, solve for \( b \):
\[ b = -2 + 28 \]
\[ b = 26 \]

6. Now substitute \( b \) back into the equation:
\[ y = 4x + 26 \]

So the equation of the line is \( y = 4x + 26 \).

The correct answer from your options is:
**y = 4x + 26**.