Given:
The slope of the line = 4
Point (-3, -4)
Solution
The formula for the equation of the line, having a slope m, passing through a point (x1, y1) is:
[tex]\frac{y\text{ - }y_1}{x-x_1\text{ }}\text{ = m}[/tex]By substituting the given values, we have:
[tex]\begin{gathered} \frac{y\text{ - (-4)}}{x\text{ - (-3)}}\text{ = 4} \\ \frac{y\text{ + 4}}{x\text{ + 3}}\text{ = 4} \\ \text{Cross-Multiply} \\ y\text{ + 4 = 4(x + 3)} \\ y\text{ + 4 = 4x + 12} \\ \text{Collect like terms} \\ y\text{ = 4x + 8} \end{gathered}[/tex]Hence, the equation of the line is y = 4x + 8
