When lines are parallel, they have the same slope. Consider the given line, which is written in slope-intercept form.
Slope-Intercept Form:& y= mx+b
Given line:& y= 2x+2
In the given equation we can see that the slope of the line is 2. Therefore, we know that all the lines that are parallel to the given one have a slope of 2. We can write a general equation in slope-intercept form for all lines parallel to the given equation.
y= 2x+ b
We are asked to write the equation of a line parallel to the given equation that passes through the point ( - 1, 3). By substituting this point into the above equation for x and y, we will be able to solve for the y-intercept b of the parallel line.
