Question

The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l1 passes through the A and B. a. Write an equation for l1 in the form ax + by + c = 0, where a, b and c are integers. The straight line l2 passes through the origin and has gradient -4. b. Write down an equation for l2. The lines l1 and l2 intersect at the point C. c. Find the coordinates of C.

          The points A and B have coordinates (4, 6) and (12, 2) respectively.

The straight line l1 passes through the A and B.

a. Write an equation for l1 in the form ax + by + c = 0, where a, b and c are integers.

The straight line l2 passes through the origin and has gradient -4.

b. Write down an equation for l2.

The lines l1 and l2 intersect at the point C.

c. Find the coordinates of C.

The points A and B have coordinates (4, 6) and (12, 2) respectively.

The straight line l1 passes through the A and B.

a. Write an equation for l1 in the form ax + by + c = 0, where a, b and c are integers.

The straight line l2 passes through the origin and has gradient -4.

b. Write down an equation for l2.

The lines l1 and l2 intersect at the point C.

c. Find the coordinates of C.

Added by Lydia E.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Kathleen Carty

11/23/2022

Step 1

The gradient \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] For points \( A(4, 6) \) and \( B(12, 2) \): \[ m = \frac{2 - 6}{12 - 4} = \frac{-4}{8} = -\frac{1}{2} \] Show more…

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The points A and B have coordinates (4, 6) and (12, 2) respectively. The straight line l1 passes through the A and B. a. Write an equation for l1 in the form ax + by + c = 0, where a, b and c are integers. The straight line l2 passes through the origin and has gradient -4. b. Write down an equation for l2. The lines l1 and l2 intersect at the point C. c. Find the coordinates of C.