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The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line y = mx + 7. Find the value of m.

Rearrange AB into y = mx + c format: 1) 3y = -3 - 5x 2) y = - 5/3 x - 1

Compare equation with y = mx + c

Conclude m = - 5/3

You can also deduce the y-intercept of AB is -1.

ED
Answered by Emanuel D. Maths tutor
3529 Views

Rearrange the following to make m the subject: 4(m - 2) = t (5m +3)

Expand the brackets: 4m - 8 = 5tm + 3t

Collect all m variables to one side: 4m - 5tm = 3t + 8

Take a factor of m out: m(4 - 5t) = 3t + 8

Divide both sides by (4 - 5t): m = (3t + 8) / ...

ED
Answered by Emanuel D. Maths tutor
4692 Views

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