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Linear Equations
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New Zealand
Level 6 - NCEA Level 1

The Point Slope Formula

Lesson
Practice

Interactive practice questions

What is the equation of the line L1 that has a gradient equal to $4$4, and cuts the $y$y-axis at $-5$−5.

$y=4x-5$y=4x−5

A

$y=4\left(x-5\right)$y=4(x−5)

B

$y=-5x+4$y=−5x+4

C

$y=4x-5$y=4x−5

A

$y=4\left(x-5\right)$y=4(x−5)

B

$y=-5x+4$y=−5x+4

C
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Which of the following is true of a straight line with gradient $1$1 going through point $A$A($-4$−4, $2$2)?

Determine the equation of line L1, given that it has a gradient of $\frac{3}{4}$34​, and cuts the $y$y -axis at $-1$−1. Express the equation in gradient intercept form.

A line has a gradient of $-4$−4 and cuts the $y$y-axis at $-9$−9.

Outcomes

NA6-7

Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns

91028

Investigate relationships between tables, equations and graphs

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