Answer:
The equation of the line in slope intercept form is; y = 5x-42
Step-by-step explanation:
Parallel lines have identical or equal slopes. This implies that the form of the equation of the line will be;
y=5x+c
Since this line passes through (8,-2), we determine the value c by substituting x with 8 and y with -2. We solve the equation;
-2 =5(8)+c to obtain c = -42
The equation of the line in slope-intercept form is thus y = 5x-42
Answer:
The equation of line parallel to y = 5x + 4 is
y = 5x - 42
Step-by-step explanation:
The two parallel lines have equal slope.
The given equation of a line is y = 5x + 4
Here slope m = 5
The line parallel to this line have same slope.
The equation of new line is, y = 5x + c
Where c is a constant
To find the equation of line
y = 5x + c ------(1)
This line passes through (8,-2)
Substitute value of x and y in equation (1) we get
-2 = (5*8) + c
-2 = 40 + c
c = -42
Therefore the equation of line parallel to y = 5x + 4 is
y = 5x - 42
