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

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Equation of a Line
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Which form should you use when two points on a line are given?

Two-point form

What is the 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}

Which form is best when you know the gradient and one point?

Gradient-point form

What is the gradient-point form formula?

y−y1=m(x−x1)y - y_1 = m(x - x_1)

In the equation y=mx+cy = mx + c, what does cc represent?

The y-intercept

What does the gradient formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} represent?

Rise over run

What is another name for the gradient-intercept form?

Standard form

What does it mean when m<0m < 0 for a line?

Line decreases as xx increases

In y=mx+cy = mx + c, what is the value of yy when x=0x = 0?

y=cy = c

What is true about the three forms of line equations?

They all represent the same line

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