Question

Learning Task 2. Find the equation of the line. Write in slope intercept form
and in standard form
1. m = -5, b= 1
3. (-2, 0) and (0,5) 5. m = 2, (3,-1)
2. (1, -2), (3, 3)
4. a = 2, b= -7​

Answer 1

$\underline{ \pink{ Two \: intercept \: form : }}$

$\boxed{ \blue{ \frac{x}{a} + \frac{y}{b} = 1 }}$

$Where, x - intercept = a , \: and \\ y - intercept = b$

$Given \: 4. a = 2 , \: b = -7$

$\red{ Required \: equation : }$

$\frac{x}{2} + \frac{y}{(-7)} = 1$

$\implies \frac{x}{2} - \frac{y}{7} = 1$

$\underline{ \orange{ Slope \: intercept \: form : }}$

$\boxed{ \blue { y = mx + b }}$

$Where, slope = m \: and \: y - intercept = b$

$Given \: 1) m = -5 \: and \: b = 1$

$\red{ Required \: equation : }$

$y = (-5) \times x + 1$

$\implies y = -5 x + 1$

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