An equation such as y = mx + c is said to be in standard form. From such an equation,
Gradient = coefficient of x = 3
y = mx + cWhere m is the gradient of the line and c is a constant (the intercept of the line).The equation of a line is typically written asy=mx+b where m is the slope and b is the y-intercept.If you know two points that a line passes through, this page will show you how to find the equation of the line.
The gradient of the line y = -3 is 0. So any parallel line has the equation y = c.Since it goes though the point (2, 6), c = 6 and so the equation is y = 6.
y=3x
The general equation of a line isy = mx + cIf the gradient is 3 then m = 3 so thaty = 3x + cSince the point (4,1) lies on this line, these coordinates must satisfy the equation.So 1 = 3*4 + cie c = -11Therefore, the equation is y = 3x - 11
It is an equation of a straight line.
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)
The slope (or gradient) of a vertical or horizontal line is zero.
When the equation is given in the standard form: y = mx + c, the gradient is m. So here, y = 7x + 2 means m, the gradient, is 7.
The equation of the line is y = 7x + 5 The gradient = the slope of the line = dy/dx = 7, in this case. The y-intercept is 5. ========================
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.
5x + 2y = -10 general line equation form is: y= mx + c so 2y = -10 - 5x y = -2.5x - 5 m refers to gradient and c is offset on the y axis so gradient is -2.5 (gradient means slope)
-6
-5/7
7
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
When equation of line is y=-4x+3, Gradient is -4 (as seen from the coefficient of x) and the y-intercept is +3 (point where x=0)
17x + 2y = 23 is the equation of a straight line with gradient -8.5 and intercept 11.5