Answer:
y = -1/4 x+11/16
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1/4x+b
Substitute the point in for x and y
1 = -1/4(-5/4) +b
1 = 5/16 +b
16/16 = 5/16 +b
Subtract 5/16 from each side
11/16 = b
y = -1/4 x+11/16
Answer:
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation
1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
