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Determine whether the line with equation 2x+ 3y + 4 = 0 is parallel to the line through the points with coordinates (9, 4) and (3, 8).

Parallel means that the lines have the same gradient/slope. For example, the lines in an equal sign are parallel.Consider the standard equation of a line is: y = mx + c

DE
Answered by Dominique E. • Maths tutor
6294 Views

Why is the gradient of a curve at a point the same as the gradient of the tangent if you can't use gradient formula on a curve?

This may be initially confusing to get your head around but gradient is really just an expression of "rate of change" on a curve the rate of change is always changing at every point, this abou...

BD
Answered by Brendan D. • Maths tutor
4324 Views

Solve the following simulateous equations: 3x+y=11 and 2x+y=8

Minus 2x+y=8 from 3x+y=11 so that the y's cancel out (y-y=0).
Then we get the equation 3x-2x=11-8.So we get x=3.We can substitute this value back into one the orginal equations: y=11-3(3)=2 - so y=2....

CG
Answered by Cameron G. • Maths tutor
3139 Views

Find the coordinates of the point of intersection of the lines y = 3x - 2 and x + 3y = 1.

(A-level Maths)
Simultaneous equations:
1) y = 3x -2 2) x + 3y = 1
Substitute y = 3x - 2 into equation 2:...

KB
Answered by Kiran B. • Maths tutor
7211 Views

The circle C has centre (2,1) and radius 10. The point A(10,7) lies on the circle. Find the equation of the tangent to C at A and give it in the form 0 =ay + bx + c.

Whenever possible it is always a good idea to draw a graph to give a better understanding of what is going on in the question. As we have already been given a point on the tangent, namely A(10,7), it is a...

GG
Answered by George G. • Maths tutor
4965 Views

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