The equation of a straight line is usually written this way:y = mx + b(or "y = mx + c" in the UK see below)What does it stand for?Slope or Gradient y value when x=0 (see Y Intercept)y = how far up x = how far along m = Slope or Gradient (how steep the line is) b...
So far we have seen that a straight line can be described as a line with a constant gradient and we know how to find the gradient of any particular line from a graph of the line. In this section we shall look more closely at the co-ordinates of points on a straight line to see ...
33 The equation for a straight line is 5x + 3y= 12.State the gradient and the y-intercept of the straight line.Persamaan bagi suatu garis lurus ialah 5x + 3y = 12.Tentukan kecerunan dan pintasan-y bagi garis lurus itu. B Gradient y-intercept Kecerunan Pintasan-y A125B34C34D-5/3...
The equation of a straight line is y = mx + c, where m, the gradient, and c, the y-intercept, are to be determined. We proceed by establishing two simultaneous equations, one from each data point, and solve for the unknown m and c. a. We have 0 = m× 0 + c and 3 = 3m ...
Work out the equation of a line parallel to the line y = 2x + 1 and passes through the point (-1,1). Solution Parallel linesshare the same gradient or slope and are in the same plane but do not intersect. To find the equation of the line parallel to y = 2x + 1 and passes thr...
The equation of a straight line passing through a given point \((x_1,\,y_1 )\) is given by \((y – y_1 ) = m (x – x_1)\), where \((x,y)\) represent any point on the straight line and \(m\) is the gradient of the line given by \(m = \rm{tan} θ\), \(...
The general equation of a straight line is: = + . We can tell 2 things about the straight line from the equation: = + The gradient of the line the -intercept (where it crosses the -axis) Example: Look at the straight line equation: = + . We know (just by looking) that...
The previous method works nicely except for one particular case: a vertical line:A vertical line's gradient is undefined (because we cannot divide by 0): m = yA − yBxA − xB = 4 − 12 − 2 = 30 = undefined But there is still a way of writing the equation: use x= ...
An algebraic equation, such asy= 2x+ 7 or 3x+ 2y-z= 4, in which the highest degree term in the variable or variables is of the first degree. The graph of such an equation is a straight line if there are two variables. American Heritage® Dictionary of the English Language, Fifth ...
Arrhenius' equation is a simple, but remarkably accurate, formula for the temperature dependence of reaction rates. The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist J. H. van't Hoff who had noted in 1884 that van't Hoff's equation for the ...