Using the concept of slopes, the points (-7, -4), (0, -1), and (7,2) __________________.

Form parallel lines
Lie on the same line
Form a triangle
Form perpendicular lines

hint Hint:

As the question states that we have to use slope concept we will first find the slopes of all the three lines. If the product of slope of lines is -1 then the lines would be perpendicular, if the slopes are same then points lie on the same line, also we have been given three points only so they can not be parallel lines.

The correct answer is: Lie on the same line

The points are A(-7,-4), B(0,-1) and C(7,2).
Slope of line AB = $fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction$ Slope of line BC = $fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction$ Slope of line AC = $fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction$
$equals fraction numerator negative 1 minus left parenthesis negative 4 right parenthesis over denominator 0 minus left parenthesis negative 7 right parenthesis end fraction equals fraction numerator negative 1 plus 4 over denominator 0 plus 7 end fraction equals 3 over 7$ $equals fraction numerator 2 minus left parenthesis negative 1 right parenthesis over denominator 7 minus 0 end fraction equals fraction numerator 2 plus 1 over denominator 7 end fraction equals 3 over 7$ $equals fraction numerator 2 minus left parenthesis negative 4 right parenthesis over denominator 7 minus left parenthesis negative 7 right parenthesis end fraction equals fraction numerator 2 plus 4 over denominator 7 plus 7 end fraction equals 6 over 14 equals 3 over 7$
As the slope of all three angles are same . So, the lines lie on the same line.

Find the slope of the line perpendicular to line h and passing through point P .

MathematicsGrade9

Grade9

Mathematics

Find the measure of $angle A C D$ .

MathematicsGrade9

Grade9

Mathematics

Line x passes through (2,3) and (7, -1). Line y passes through (5, 4) and (-3,2). Which line is steeper, x or y?

MathematicsGrade9

Grade9

Mathematics

If l || m then find the measures of x and y?

In this question we have to find x and y given that l is parallel to m and t is the transversal. First to find x we can use linear pair as we know that the sum of angles which are in linear pair is 180 deg. Next to find y we can use the theorem alternate exterior angles are equal.