Write an equation of the line, in the slope-intercept form (y=mx+b) with a slope of 4 and passes through point (3,6)

Question

hero · Answer

The slope intercept form of a line is $y = mx + b$

To write the equation of a specific line we need to input the values of $m$ and $b$ 

In this case, we have $m$ but we need $b$. Luckily, we've been given a point that is on the line, so we will input the values for the point and the slope, then solve for b:

$6 = 4(3) + b$
$6 = 12 + b$
$6 - 12 = b$
$-6 = b$

Now that we have the values for $m$ and $b$ we can write the equation of the line:

$y = 4x - 6$

anonymous · Answer

the equation of a line is given by (y-y0)=m(x-x0)
where x0=3 and y0=6
this gives us: y-6=4(x-3)
which simplifies to:
y=4x-6