Create an equation in point-slope form to represent a line with a slope of

Question

4
1
​
that contains the point (−1, −7).

y+7=
4
1
​
(x+1)

y−7=
4
1
​
(x−1)

y+1=
4
1
​
(x+7)

None of these are correct.

Answer 1

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

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

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

Given:

• Slope \(m = \frac{4}{1} = 4\)
• Point \((x_1, y_1) = (-1, -7)\)

Now we can plug these values into the point-slope form:

\[ y - (-7) = 4(x - (-1)) \]

This simplifies to:

\[ y + 7 = 4(x + 1) \]

So, the correct equation in point-slope form is:

\[ y + 7 = 4(x + 1) \]

The correct option from your list is:

y + 7 = 4(x + 1).