Equation of a Line (Junior Cert Mathematics): Quizzes

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Equation of a Line
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What does the equation of a line describe?

Every point on the line

When is the Point-Slope Formula used?

When you know slope and a point

What is the Point-Slope Formula?

y−y1=m(x−x1)y - y_1 = m(x - x_1)

In the Point-Slope Formula, what does mm represent?

The slope of the line

In the formula y−y1=m(x−x1)y - y_1 = m(x - x_1), what does (x1,y1)(x_1, y_1) represent?

A point on the line

A line with slope 22 through (3,4)(3, 4) has which simplified equation?

2x−y−2=02x - y - 2 = 0

When is the Slope-Intercept Formula used?

When you know slope and y-intercept

What is the Slope-Intercept Formula?

y=mx+cy = mx + c

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

The y-intercept

A line with slope 33 crosses the y-axis at which point in Example 2?

(0,−5)(0, -5)

How do you find a point on a line using its equation?

Plug in a value for xx and solve for yy

Using 2x−y−2=02x - y - 2 = 0, what point results when x=1x = 1?

(1,0)(1, 0)

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