Error: They used the negative reciprocal of the slope instead of using the same slope. Correct line: y=1/4x+11/4
Practice makes perfect
Parallel lines have the same slope. Therefore, the slope of a parallel line to y= 14x+2 is 14, and not - 4. This is the mistake they have made. The line whose equation we want to write passes through the point ( 1, 3). We can substitute this information in the point-slope form to write its equation.
y- y_1= m(x- x_1)
↓
y- 3= 1/4(x- 1)
Finally, let's isolate the y-variable to obtain the slope-intercept form of the line.
