Question

Tell whether the lines for each pair of questions are parallel or perpendicular or neither y=5/3x+3. 20x+12y=12

Answer 1

neither

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{5}{3}$ x + 3 is in this form

with slope m = $\frac{5}{3}$

rearrange 20x + 12y = 12 into this form

subtract 20x from both sides

12y = - 20x + 12 ( divide all terms by 12 )

y = - $\frac{5}{3}$ + 1 ← in slope-intercept form

with slope m = - $\frac{5}{3}$

Neither of the conditions for parallel/ perpendicular slopes are met

Hence the lines are neither parallel/ perpendicular