Equations of Lines — Engineering Board Exam Practice Questions

16 free engineering board exam reviewer questions on Equations of Lines (Analytic Geometry), each with the correct answer and a worked solution.

1. EE Board April 1997: A line passes thru (1,-3) and (-4,2). Write the equation of the line in slope-intercept form.
2. EE Board October 1997: What is the x-intercept of the line passing through (1,4) and (4,1)?
3. ME Board April 1997: Find the equation of a straight line with a slope of 3 and a y-intercept of 1.
4. ECE Board April 1999: If the points (-2,3), (x,y) and (-3,5) lie on a straight line, then the equation of the line is
5. ME Board April 1998: The equation of a line that intercepts the x-axis at x=4 and the y-axis at y=-6 is
6. A line with an inclination of 45° passes through ≤ft(-5/2,-9/2 ). What is the x-coordinate of a point on the line if its corresponding…
7. Find the equation of the line passing through the origin and with a slope of 6.
8. Find the equation of the line if the x-intercept and y-intercept are -2 and 4, respectively.
9. CE Board May 1996: What is the equation of the line that passes thru (4,0) and is parallel to the line x-y-2=0?
10. Find the equation of the line through point (3,1) and is perpendicular to the line x+5y+5=0.
11. Find the equation of the perpendicular bisector of the line joining (5,0) and (-7,3).
12. Which of the following lines is parallel to the line 3x-2y+6=0?
13. The equation of the line through (-3,-5) parallel to 7x+2y-4=0 is
14. What is the equation of the line joining the points (3,-2) and (-7,6)?
15. What is the equation of the line passing through (-2,6) with the x-intercept half the y-intercept?
16. ECE Board November 1998: A line passes through point (2,2). Find the equation of the line if the length of the line segment intercepted by…