Question

Write the equation of the line parallel to y= 5/4x + 5/4 That passes through the point (-2,3)

Answer 1

`y=(5)/(4)x+(11)/(2)`

Explanation:

y = (5/4)x + (5/4)

Slope = 5/4

Parllel lines have same slope

Slope of the line parallel to this line = 5/4

(-2 , 3)

y -y1 = m(x -x1)

y - 3 = (5/4)(x - [-2])

`y -3 =(5)/(4)(x +2)\\\\y - 3 =(5)/(4)x + 2*(5)/(4)\\\\y -3 =(5)/(4)x + (5)/(2)\\\\y =(5)/(4)x + (5)/(2)+3\\y =(5)/(4)x+(5)/(2)+(3*2)/(1*2)\\\\y=(5)/(4)x+(5)/(2)+(6)/(2)\\\\y=(5)/(4)x+(11)/(2)`