When lines are parallel, they have the same slope.
To help us identify the slope of this line, let's first convert it into slope-intercept form, y= mx+ b, where m is the slope and (0, b) is the y-intercept.
With this, we can more easily identify the slope m and y-intercept b.
y= 3/2x+ 5
This means we can write a general equation in slope-intercept form for all lines parallel to the given equation.
y= 3/2x+ b
We are asked to write the equation of a line parallel to the given equation that passes through the given point ( 2, -5). By substituting this point into the general equation for x and y, we will be able to solve for the y-intercept b of the parallel line.
Now that we have the y-intercept, we can write the equation of the line that is parallel to y= 32x+5 and passes through (2,-5).
y= 3/2x+( -8) ⇒ y=3/2x-8
