Gradient and Y-Intercept in Linear Equations
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(0:01) What is y = mx + c?: The equation $y = mx + c$ is the general form of linear equations, where $m$ is the gradient (slope), and $c$ is the y-intercept. Linear equations always form a straight line on a graph.(0:24) What is the gradient (m)?: The gradient ($m$) shows how steep the line is. A positive $m$ means an upward slope, while a negative $m$ means a downward slope.(1:34) What is y-intercept (c)?: The y-intercept ($c$) is the point where the line crosses the y-axis. It represents the value of $y$ when $x = 0$.(2:55) How to Graph Linear Equations: For $y = 2x + 1$, start at the y-intercept $(0,1)$, then move 1 step right and 2 steps up to plot the second point because $m$ is 2. Finally, create a straight line through these points.
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