Geometry

Equation of a Line

Linear Equations - Forms of a Line

         

The graph of the line y=ax+by=ax+b passes through point (2,90)(2, 90). If xx decreases from 33 to 11, then yy decreases by 44. What is the sum of the xx-intercept and the yy-intercept?

What is the equation of a line that passes through two points (2,2)(-2,-2) and (4,1)(4, 1)?

Let axyb=0ax-y-b=0 be the equation of the line passing through the midpoint of the line segment connecting two points P=(4,9)P=(4,9) and Q=(5,1)Q=(5,1). If the line has slope 66, what is the value of a+ba+b?

Suppose AA and BB are points in the first quadrant such that the slopes of the line segments OA\overline{OA} and OB\overline{OB} are 33 and 13\displaystyle \frac{1}{3}, respectively, where OO is the origin. If OA=OB,\lvert \overline{OA} \rvert= \lvert \overline{OB} \rvert, then what is the equation of line which is parallel to the line segment ABAB and passes through the point P=(3,7)?P=(-3,7)?

What is the equation of a line with slope 44 and yy-intercept 6?6?

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