Geometry

Equation of a Line

Equation of a Line: Level 1 Challenges

         

Consider the line given by the equationy=52x+30.y=\frac{5}{2}x+30. Let aa and bb be the xx-intercept and yy-intercept of this line. What is the value of a+ba+b?

Two lines yax=2y-ax=2 and x+23y=138x+23y=138 are perpendicular to each other. What is the value of aa?

Find the equation of the line which has a slope of 34-\frac{3}{4} and forms a triangle with the positive coordinate axes such that the triangle has an area of 24 square units.

If three points A=(k,k+2),A=(k,k+2), B=(0,k6)B=(0,k-6) and C=(k4,k)C=(k-4,k) all lie on the same line, what is the value of k?k?

The graph of the line y=ax+by=ax+b passes through the point (2,90)(2, 90). Additionally, traveling along the line, if xx decreases by 22, then yy decreases by 44. What is the sum of the xx-intercept and the yy-intercept?

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