So let's look at first what slope-intercept form is. Slope intercept form is actually y equals mx plus b. The reason why it is called slope intercept form is because it gives a slope and an intercept.
The y-intercept is the point at which a linear equation crosses the y-axis on the x=0 plot point. The equation to determine both the slope and the y-intercept of a line is y=mx+b. This calculation may ...
Plot points with coordinates where \(x\) and \(y\) are equal. Three points are sufficient, but more can be plotted. Draw a line through the plotted points. If \(x\) is positive, \(y\) is negative. If ...
The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...
Any equation that can be rearranged into the form \(y = mx + c\), will have a straight line graph. \(m\) is the gradient, or steepness of the graph, and \(c\) is the \(y\)-intercept, or where the line ...
Any straight line graph has a constant gradient, which is calculated by the change in 𝑦 divided by the change in 𝑥, along any section of the graph. The gradient is measuring the steepness of the ...
Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. A particle moves along a line with a position function \(s(t)\) ...
All real-life graphs can be used to estimate or read-off values.The actual meaning of the values will depend on the labels and units shown on each axis. Sometimes: This graph shows the cost of petrol.
All real-life graphs can be used to estimate or read-off values. The actual meaning of the values will depend on the labels and units shown on each axis. Sometimes: This graph shows the cost of petrol ...
To help draw a straight line graph from its equation, fill in a table of 𝑥 and 𝑦 values. Plot the pairs of values as coordinates and join to make a line. Make sure you are confident with ...