Equation of a Line (Leaving Cert Mathematics): Quizzes

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Equation of a Line
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12 questions from this quiz

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What does the equation of a line describe?

All points that lie on that line

What is the point-slope form formula?

y−y1=m(x−x1)y - y_1 = m(x - x_1)

What do you need to use the point-slope form?

One point and the slope

Which formula finds slope from two points?

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

Find the equation with point (−3,2)(-3, 2) and slope 23\frac{2}{3}.

2x−3y+12=02x - 3y + 12 = 0

What is true about parallel lines?

They have the same slope

What is true about perpendicular lines?

Slopes are negative reciprocals

If a line has slope mm, what is the perpendicular slope?

−1m-\frac{1}{m}

Which is the general form of a line equation?

ax+by+c=0ax + by + c = 0

In slope-intercept form y=mx+cy = mx + c, what does cc represent?

The y-intercept

Which form do most exam questions require for the answer?

General form

What is the slope of the line through (−2,3)(-2, 3) and (3,1)(3, 1)?

−25-\frac{2}{5}

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