There are an infinity of lines passing through the point whose coordinates are (2,2), each with a different slope [gradient]. The equation of the line will be of the form (y - 2) = m*(x - 2) where m is the gradient.
A linear equation.
Rearranging the original equation, we get y=-(2/3)x+12. Since 12 is the constant, this is the point that the line of this equation will cut the y-axis if x=0. Therefore, -(2/3) is the gradient and for an equation to produce a parallel line, the gradient must be equal. Summing up, y=-(2/3)+c (where c equals any real number) would be parallel
That would be a linear equation.
An equation such as y = mx + c is said to be in standard form. From such an equation, Gradient = coefficient of x = 3
If you have the equation, yes. If the equation is given in terms of x and y, make y the subject of the equation. That is, expres the equation in the form y = mx + c where m and c are constants. Then the gradient is m.
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
A linear equation.
It is the locus of all points whose coordinates satisfy the equation of the line.
Change the number in front of the X, as that is the gradient.
y = mx + c is the equation of a straight oblique line where m = gradient The gradient is a measue of the steepness of a line (or a measure of the slope of the line)
y = -4x
It is the equation of a straight line in the form of: y = 2x+4
If necessary, rearrange the linear equation so that it is in the slope-intercept form: y = mx + c Then the gradient of the line is m.
Without an equality sign it can not be considered to be an equation
A linear equation ?
y = 11x + 5 The slope/gradient of this equation is 11. The slope/gradient can easily been seen in a linear equation: it is simply the co-efficient of x
y = 2x + 3