Equation of a Line (Grade 11 NSC Matric Mathematics): Flashcards

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Equation of a Line
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Two-point form formula

y−y1x−x1=y2−y1x2−x1\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}

When to use two-point form

When you know two points on the line

Gradient-point form formula

y−y1=m(x−x1)y - y_1 = m(x - x_1)

When to use gradient-point form

When you know the gradient and one point on the line

Gradient-intercept form formula

y=mx+cy = mx + c

mm in y=mx+cy = mx + c

The gradient of the line

cc in y=mx+cy = mx + c

The y-intercept (where line crosses y-axis)

Gradient formula (rise over run)

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Meaning of negative gradient (m<0m < 0)

Line decreases as xx increases

Other name for gradient-intercept form

Standard form

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