Question

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

Answer 1

Answer:

$y=\frac{5}{4}x+\frac{11}{2}$

Step-by-step 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])

$y -3 =\frac{5}{4}(x +2)\\\\y - 3 =\frac{5}{4}x + 2*\frac{5}{4}\\\\y -3 =\frac{5}{4}x + \frac{5}{2}\\\\y =\frac{5}{4}x + \frac{5}{2}+3\\y =\frac{5}{4}x+\frac{5}{2}+\frac{3*2}{1*2}\\\\y=\frac{5}{4}x+\frac{5}{2}+\frac{6}{2}\\\\y=\frac{5}{4}x+\frac{11}{2}$