Yes that about sums it up.
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Assuming the equation of the given line is y = 3x + 4, its gradient is 3.Therefore the gradient of the required line is 3. The line passes through (3, 1) and so its equation is y - 1 = 3*(x - 3) = 3x - 9 So y = 3x - 8
Standard form is used in many different ways. It is used on a scientific calculator if the answer is to big, it is used in GigaBites and MegaBites and it is used in cell biology to express the number and size of cells. But I need three more examples... anyone?
The standard equation of a straight line in the slope-intercept form is y = mx + c where m is the slope and c is the y intercept.3x - 6y = 12 can be re-written as 6y = 3x - 12 or y = 1/2x - 2.-2 is therefore the y intercept (this is when x = 0)The x intercept (when y = 0) can be obtained from the equation y = 1/2x - 2 : 0 = 1/2x - 2 : 1/2x = 2 : x = 4.
Definition of slope intercept form:The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b. Other forms of linear equations are the standard form and the point-slope form.For example, if you have slope of 2 and points (4, 5) your equation will look like this:5=2x+bif x=4, you get 5=2(4)+bsolve for b: -3y=2x-3
The quadratic equation, in its standard form is: ax2 + bx + c = 0 where a, b and c are constants and a is not zero.
ax2 + bx + c = 0
false apex
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
The equation must be written in the form ( ax^2 + bx + c = 0 ), where ( a \neq 0 ). This is the standard form of a quadratic equation. If the equation is not in this form, you may need to rearrange it before applying the quadratic formula.
it is 1
George E. Forsythe has written: 'What is a satisfactory quadratic equation solver?' 'Finite-difference methods for partial differential equations' 'How do you solve a quadratic equation?'
Without an equality sign the given terms of an algebraic expression can't be classed as an equation and so therefore a solution is not possible.
It is: x2-10x+21 = 0 and the value of x is 3 or 7 when solved
It is: 3x2-5x-2 = 0 and the value of x is -1/3 or 2 when solved
There are many ways: one is to factorise. If the quadratic is written as ax2 + bx + c then, if b2 = 4ac, the quadratic is a perfect square. It is (x - b/2a)2
A quadratic equation is an equation where a quadratic polynomial is equal to zero. It can be written as ax^2+bx+c=0 where a,b,c are the coefficients and x is the variable. A quadratic equation has always two complex solutions for x given by the formula x=-b/2a+sqrt(b^2-4ac)/2a and x=-b/2a-sqrt(b^2-4ac)/2a. Examples of quadratic equations are x^2+x-2=0, 5x^2+6x=0, x^2+1=0 etc.