Method of Converting Standard Form Slope Intercept Form: Considering the standard form of the quadratic equation, we want to convert it into the slope-intercept form. ... Practical Example: Now ...

For example, if you have the equation y = 2x + 5, you can use the intercept to plot the point (0, 5) and then use the slope to find another point by adding 2 to y and 1 to x, which gives you (1, 7).

Write the final equation using the found gradient and 𝑦-intercept. GCSE exam-style questions Find the equation of the line that has a gradient of 3 and goes through the point (2, 5).

Example Find the gradient and y-intercept for the straight line with equation \(2x + y - 13 = 0\). Rearrange the equation into the form \(y = mx + c\) using the algebraic rules for solving equations.

To determine the rule for a given linear graph, locate two points on the graph and use these to calculate the gradient and establish the \(y\)-intercept. Two commonly used methods are: read the ...