Question #4b6d3

1 Answer
May 11, 2017

The equation for this is #y=3x+1#. See below.

Explanation:

Okay, so we're given the slope (m) and a certain coordinate and we are asked to find the equation.

The way we do this is by using the slope-intercept formula,
#y=mx+b#.

#y#= y coordinate
#m#= slope
#x#= x coordinate
#b#= y-intercept

So, in order to solve for #b# (since we already have #m#), we need to put in the values we are given:

#4=3(1)+b#
#y#= #4#
#m#= #3#
#x#= #1#
#b#= #?#

#4=3(1)+b#
#4=3+b#
#4-3=3+b-3#
#4-3=3+b# (The #3's# cancel out)
#1=b#

So now that we have solved for #b#, we can now put it in our equation:

#y=3x+1#

Now, you might be wondering, why aren't we putting the values for x and y in the equation? That is because the point will not always be (1,4), it could be something else. Therefore, it is not constant.

However, the slope and y-intercept (m and b) are constant.

Hope this helps!