Question

3.What is the equation of the line with a slope of 4, and which passesthrough the point (-3,-4) ?

Answer 1

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:

`\frac{y\text{ - }y_1}{x-x_1\text{ }}\text{ = m}`

By substituting the given values, we have:

`\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}`

Hence, the equation of the line is y = 4x + 8