The correct equation to use to determine if two lines are parallel is the slope-intercept form of a line: y = mx + b, where m is the slope of the line.
To find if the two lines in the given graph are parallel, we need to calculate the slopes of each line and compare them.
For line a:
Slope = rise/run = (4-1)/(1-(-2)) = 3/3 = 1
For line b:
Slope = rise/run = (3-(-1))/(3-(-1)) = 4/4 = 1
Since both lines have the same slope (1), the two lines in the graph are parallel.
Therefore, the correct answer is not provided in the options.
Which equation would you use to find out if the two lines in the graph are parallel?
A coordinate graph is shown with 2 lines.Line a passes through a point with the label left parenthesis negative 2 comma 1 right parenthesis and a point with label left parenthesis 1 comma 4 right parenthesis.
Line b passes through a point with label left parenthesis negative 1 comma negative 1 right parenthesis and a point with label left parenthesis 3 comma 3 right parenthesis.
A. start fraction 4 minus 1 over negative 2 minus 1 end fraction equals start fraction 3 minus 1 over 3 minus 1 end fraction
B. start fraction 4 minus 1 over negative 2 minus 1 end fraction equals start fraction 3 minus left-parenthesis negative 1 right-parenthesis over 3 minus 1 end fraction
C. start fraction 4 minus 1 over 1 minus left-parenthesis negative 2 right-parenthesis end fraction equals start fraction 3 minus left-parenthesis negative 1 right-parenthesis over 3 minus left-parenthesis negative 1 right-parenthesis end fraction
D. start fraction 1 minus left-parenthesis negative 2 right-parenthesis over 4 minus 1 end fraction equals start fraction 3 minus 1 over 3 minus 1 end fraction
1 answer