How do you write an equation of a line with slope of 2 and passes through (-5, 1)?

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Answer 1 · 2016-11-15T04:05:41

#y=2x+11#

We can write this equation using the slope-intercept form, shown below.
#y=mx+b#
Here, m is the slope and b is the y-intercept.

First, we can input the value of the slope given in the problem.
#y=2x+b#

To determine the b value, we must input the given x and y values.
#1=2(-5)+b#
#1=-10+b#
We then simply add 10 to both sides.
#11=b#

Next, we can plug this b value into the original equation. This is the equation of the line.
#y=2x+11#