# Find an equation of the line with the given slope of -7 that passes through the point (-3, -4)

We will use the concept of the point-slope form of a straight line to find the equation.

## Answer: The equation of the line in slope-intercept form passing through the point P(-3, -4) with slope -7 is given as y = -7x - 25.

Let us see how we will use the concept of the point-slope form of the straight line to find the equation.

**Explanation:**

We will use the definition of slope to find the slope

Let us consider another point on the line that is (x, y).

We know that given two points (x_{1}, y_{1}) and (x_{2}, y_{2}) the slope is given by,

Slope(m) = (y_{2} - y_{1}) / (x_{2} - x_{1})

Here, m = -7

Hence, the slope of the line passing through the points (-3, -4) and (x, y) is,

Slope = (y + 4) / (x + 3) = -7

⇒ y + 4 = -7 (x + 3)

⇒ y - 4 = -7x - 21

⇒ y = -7x - 21 - 4

⇒ y = -7x - 25

### Thus, y = -7x - 25 is the equation of the required line.

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