Question
A line is graphed on a coordinate grid through the points with coordinates
negative 1 comma 4, coordinates 0 comma 2, coordinates 1 comma 0, coordinates 2 comma negative 2.
A. one-half
B. 2
C. –2
D. –one-half
negative 1 comma 4, coordinates 0 comma 2, coordinates 1 comma 0, coordinates 2 comma negative 2.
A. one-half
B. 2
C. –2
D. –one-half
Answers
Bot
First, we need to find the slope of the line. The slope of a line passing through two points (x1,y1) and (x2,y2) is given by the formula (y2-y1)/(x2-x1). Therefore,
slope = (2-4)/(0-(-1)) = 2
Next, since we have the y-intercept of the line (0,2), we can write the equation of the line in slope-intercept form: y = 2x + 2
Now, we just need to find the slope of a line perpendicular to this line. The slopes of perpendicular lines are negative reciprocals of each other. Therefore, the slope of the line perpendicular to our given line is -1/2.
Hence, the answer is D) -one-half.
slope = (2-4)/(0-(-1)) = 2
Next, since we have the y-intercept of the line (0,2), we can write the equation of the line in slope-intercept form: y = 2x + 2
Now, we just need to find the slope of a line perpendicular to this line. The slopes of perpendicular lines are negative reciprocals of each other. Therefore, the slope of the line perpendicular to our given line is -1/2.
Hence, the answer is D) -one-half.