Question
The equation of the line passing through (7, 2) and (-3, 5) is _______.
- x - y = 7
- y = x + 5
- 3x - 2y = 6
Hint:
Find the slope of the line by this formula:
Then take any points and find out the y intercept.
The correct answer is:
Given points (7, 2) and (-3, 5)
The slope of the line that passes through the given points is
m = 
The y-intercept of the line is the point where the line intersects the y-axis i.e. b in y = mx + b
Let us substitute the coordinates of a point to find the y-intercept.
y = mx + b taking points (-3,5)
Substituting the values of b and m in equation y = mx + b, we get
y = 
Thus, the equation of the line passing through (7, 2) and (-3, 5) is
Related Questions to study
The slope of the line perpendicular to y = 3x + 8 is _____.
The slope of the line perpendicular to y = 3x + 8 is _____.
Write an equation of the line that passes through P(2,6) and has a slope m = - 5.
Write an equation of the line that passes through P(2,6) and has a slope m = - 5.
The equation of a line that is perpendicular to the line y = x - 1 and passes through the point (7, 2) is ______.
The equation of a line that is perpendicular to the line y = x - 1 and passes through the point (7, 2) is ______.
Name the pairs of parallel lines.
Learn how to identify parallel lines from a figure.
Name the pairs of parallel lines.
Learn how to identify parallel lines from a figure.
Which geometric term would you use to describe the power cables shown?
Know what are the definitions of parallel, perpendicular and intersecting lines.
Which geometric term would you use to describe the power cables shown?
Know what are the definitions of parallel, perpendicular and intersecting lines.
The hands of the scissors are ______.
Know the difference between intersecting, parallel and perpendicular lines.
The hands of the scissors are ______.
Know the difference between intersecting, parallel and perpendicular lines.
What are the lines parallel to GH?
Know what are parallel and intersecting lines.
What are the lines parallel to GH?
Know what are parallel and intersecting lines.
Identify the line perpendicular to AB.
Lines are perpendicular when the angle between them is 90 degrees.
Identify the line perpendicular to AB.
Lines are perpendicular when the angle between them is 90 degrees.
What are the lines parallel to CD?
For such questions, we should know about parallel lines and perpendicular lines. The line joining the two parallel lines will be perpendicular to both the lines. So, the other way to check for parallel lines is by drawing a line joining both.
What are the lines parallel to CD?
For such questions, we should know about parallel lines and perpendicular lines. The line joining the two parallel lines will be perpendicular to both the lines. So, the other way to check for parallel lines is by drawing a line joining both.
Find 
and 
.
For such questions, we should know about supplementary angles. We should know about the properties of intersecting lines. We have to be careful about the point of interaction of lines.
Find and .
For such questions, we should know about supplementary angles. We should know about the properties of intersecting lines. We have to be careful about the point of interaction of lines.
Identify the pair of parallel lines.
Know what are parallel lines and what are intersecting lines.
Identify the pair of parallel lines.
Know what are parallel lines and what are intersecting lines.
Identify the pair of parallel lines.
Know what parallel lines are.
Identify the pair of parallel lines.
Know what parallel lines are.
Identify the pair of perpendicular lines.
Know the symbol of perpendicular lines.
Identify the pair of perpendicular lines.
Know the symbol of perpendicular lines.
From given line which will be perpendicular to XY?
Know what are perpendicular, parallel and intersecting lines.
From given line which will be perpendicular to XY?
Know what are perpendicular, parallel and intersecting lines.
Fill in the blank with 
or 
to make the statement true. p ___ m.
Learn perpendicular lines and it's symbols.
Fill in the blank with or to make the statement true. p ___ m.
Learn perpendicular lines and it's symbols.
