Question

Question 1)A line with slope = 6 that passes through the point (3, 1) written in point-slope form is

Answer 1

The equation of a line in slope-intercept form is given as

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

The slope of the line is 6

Hence, m = 6

Since the line passes through the point (3, 1)

Hence,

`x_1=3,y_1=1`

Substitute the values into the equation

This gives

`y-1=6(x-3)`

Simplify the equation

`\begin{gathered} y-1=6x-18 \\ y=6x-18+1 \\ y=6x-17 \end{gathered}`

Therefore, the equation of the line is

`y=6x-17`