Question

Write an equation of the line that passes through the point (5.6) with slope 3

Answer 1

step 1

The equation of the line in slope-intercept form is given by

$y=mx+b$

In this problem we have

m=3

point (5,6)

substitute and solve for b

$\begin{gathered} 6=3(5)+b \\ 6=15+b \\ b=6-15 \\ b=-9 \end{gathered}$

therefore

The equation of the line is

$y=3x-9$

Find out the equation in point-slope form

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

we have

m=3

point (5,6)

substitute

$y-6=3(x-5)$

The answer is option B