The line AB has equation 5x + 3y + 3 = 0 . (a) The line AB is parallel to the line with equation y = mx + 7 . Find the value of m. [2 marks] (b) The line AB intersects the line with equation 3x -2y + 17 = 0 at the point B. Find the coordinates of B.
Rearrange line into standard form.
y=5/3*x +1
For parallel lines the gradient is the same therefore m = 5/3
Point of intersection is where two lines equal eachother
multiply out to elminate x term
15x + 9y + 9 = 15x - 10y + 85
19y = 76
y = 4
Sub y to find x
5x + 12 +3 = 0
x = -3
b = (-3,4)
DH
Related Maths A Level answers
All answers ▸How do you find the coordinate of where two lines intersect?
Find the gradient of the line 4x+9y=10.
Differentiate 2x^3+23x^2+3x+5 and find the values of x for which the function f(x) is at either at a maximum or minimum point. (Don't need to specify which is which)
Expand using binomial expansion (1+6x)^3