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Area of Isosceles Triangle Compound Inequality Scientific Notation Sums Exponents/Powers Intro Prime Numbers Calendar Math Polynomials, Adding-SubtractingThe slope intercept form for the equation of a straight line. Represents a line with gradient m.
That also intercepts the y-axis at a point (0,c).
The slope intercept equation of a straight line with gradient m and y-intercept c is:
On a graph the straight line given by this equation looks like this.
Sometimes it can be asked that the equation of a straight line is put into what’s referred to as the "general form".
The graph of this line is shown below.
What is the gradient and point of intersection on the y-axis of the following lines?
Are the following lines parallel?
If the following lines are parallel.
9x + 3y + 3 = 0
12x + by + 8 = 0
What is the value of b?
First looking to put both equations in the form y =
mx
+ c.
1)
9x + 3y + 3 = 0
=> 3y = -9x − 3
(&div3) y = -3x − 1
2)
12x + by + 8 = 0
=> by = -12x − 8
Parallel lines have the same gradient. So we want to have the same m in both equations.
Dividing equation  2 by 4, will give the same m as equation  1, which is -3.