Question

Write an equation of the line with the given slope and y-intercept slope = 6/5 ; y-intercept = 1

Answer 1

Step-by-step explanation:

☄ $\underline{ \underline{ \large{ \tt{G\: I \: V\: E \: N}}}} :$

• Slope ( m ) = $\frac{6}{5}$ & y - intercept ( c ) = 1

☼ $\underline{ \underline{ \large{ \tt{T\: O \: \: F \: I\: N \: D}}} }:$

• Equation of the line with the given slope and y-intercept

☃ $\underline{ \underline{ \large{ \tt{S \: O \: L \: U\: T \: I\: O\: N}}}} :$

☂ Using slope intercept form of equation of straight line , we get :

❆ $\large{ \sf{y = mx + c}}$

~Plug the known values !

⤑ $\large\sf{y = \frac{6}{5} x + 1}$

⤑ $\large{ \sf{y = \frac{6x + 5}{5}}}$

⤑ $\large{ \sf{5y = 6x + 5}}$

⤑ $\large{ \tt{6x + 5 = 5y}}$

⤑ $\boxed{ \large{ \sf{6x - 5y + 5 = 0}}}$

⚥ $\boxed{ \boxed{ \large{ \tt{Our \: Final \:Answer : \underline{ \boxed{ \tt{6x - 5y + 5 = 0}}}}}}}$

☏ $\tt{THINGS \: TO \: REMEMBER} :$

• If the straight line passes through origin , then c = 0. The equation becomes y = mx. The equation of straight line that passes through origin is y = mx.

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