Math  /  Algebra

QuestionDate:
Forms of lines Exit Ticket 1) [3 marks] Write the following in the form ax+by=ca x+b y=c where a,ba, b, and cc are integers. y=56x+3y=\frac{5}{6} x+3 2) [2 marks] Write the following in the form y=ax+by=a x+b. 4x+3y=14 x+3 y=-1 3) (3(3 marks/ Write the following in the form ax+by=ca x+b y=c where a,ba, b, and cc are integers. y5=4(x+3)y-5=-4(x+3) 4) [2[2 marks ]] Explain why the gradient of the line with the form ax+by=ca x+b y=c is ab-\frac{a}{b}.

Studdy Solution
1. 5x+6y=18-5x + 6y = 18
2. y=43x13y = -\frac{4}{3}x - \frac{1}{3}
3. 4x+y=74x + y = -7
4. The gradient is ab-\frac{a}{b} because when we solve for yy in ax+by=cax + by = c, we get y=abx+cby = -\frac{a}{b}x + \frac{c}{b}, which is in slope-intercept form, revealing the gradient as the coefficient of xx.

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