Respuesta :
Answer:
A. y-5 = 1/4(x+1)
Step-by-step explanation:
The equation of a line parallel to the line y = 1/4x - 6 and passing through the point can be expressed in slope-intercept form of the equation
y-yβ = m(x-xβ) where;
(xβ, yβ) is the given point
m is the slope of the unknown line.
Since the unknown line is parallel to the given line Β y = 1/4x - 6, they will have the same slope.
Let us get the slope of the known line Β y = 1/4x - 6
Comparing the line Β y = 1/4x - 6 with the standard equation of a line Β
y = mx + c, the slope of the known line m = 1/4.
The slope of the unknown line is also equivalent to 1/4.
Substituting the given point Β (β1, 5) and the calculate slope m into the slope-intercept form of the equation y-yβ = m(x-xβ);
xβ = -1, yβ = 5 and m = 1/4
Hence, the equation that Randolph is trying to find will be y-5 = 1/4(x-(-1)) i.e Β y-5 = 1/4(x+1)
Answer:
A, here is a pic of the actual question ;)
Step-by-step explanation:
