Question
Choose all of the following equations hat represent a line parallel I to the line plotted on the axes. y=3x-5 y+8=3x y=2-3x 3y=x+2 y=2x+3 y-3x=9 4. Zoom
Answer
4.4
(166 Votes)
Wyn
Master · Tutor for 5 years
Answer
Since we are not provided with the gradient (slope) of the original line, we cannot accurately determine which of the presented equations represents a line parallel to the original line.
Explanation
## Step1:Before answering the question, we need to understand one important property of parallel lines - Two lines are parallel only if their slopes are equal. From the line plotted on the axis, we don't have an equation but we understand that it is unfortunately missing from this directive.However, let's proceed by taking the equation of the line as
, where m is the gradient and b is the y-intercept. ## Step2:For the columns in the table, each equation needs to be presented in the slope-intercept form, i.e.,
.We'll rearrange the equations and determine their slopes:###
The slope (m) is 3.###
The slope (m) is 3.###
The slope (m) is -3.###
The slope (m) is
.###
The slope (m) is 2.###
The slope (m) is 3.## Step3:Now we choose only those equations whose slopes are the same as it's if we knew it, hence completing the task.