Question

Write the equation of the line in slope-intercept form given the slope and a point on the line.M=2, (5,6)

Answer 1

Given:

The slope (m) = 2

The given point: (5,6)

The formula to find the equation of a line given its slope and a point is:

`y-y_1=m(x-x_1)`

Substituting the given values:

`\begin{gathered} y-6\text{ = 2(x-5)} \\ y-6\text{ = 2x -10} \end{gathered}`

Re-arranging to have a slope-intercept form:

`y\text{ = mx + c}`

Where m is the slope and c is the intercept

Hence:

`\begin{gathered} y\text{ = 2x -10 + 6} \\ y\text{ = 2x - 4} \end{gathered}`

Answer:

y = 2x -4