Determine gradient from graph of y=3x+1

Mathematics

ScanSolve AI Answer

Answer

3\mathbf{3}

Graph of y = 3x + 1

Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.

Key points of y = 3x + 1
Pointxy
x-intercept−0.330
y-intercept01

Step-by-step solution

2 steps
  1. Recall the slope-intercept form of a linear equation.

    The slope-intercept form of a linear equation is y=mx+cy = mx + c, where mm represents the gradient (slope) and cc represents the y-intercept.

  2. Compare the given equation with the slope-intercept form.

    The given equation is y=3x+1y = 3x + 1.
    By comparing this to y=mx+cy = mx + c, we can see that m=3m = 3 and c=1c = 1.

    The gradient of the line is 3\mathbf{3}.

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