Answer:
9. y= ¼x -5
10. y= 2x +18
Explanation:
Slope-intercept form:
y= mx +c, where m is the slope (also known as gradient) and c is the y-intercept.
9. The given equation is already written in the slope-intercept form. The coefficient of x is ¼, thus the gradient of the given line is ¼.
Parallel lines have the same gradient and hence, gradient of line is also ¼.
Substitute m= ¼ into the equation:
y= ¼x +c
To find the value of c, substitute a pair of coordinates.
When x= 8, y= -3,
-3= ¼(8) +c
-3= 2 +c
c= -3 -2
c= -5
Thus, the equation of the line is y= ¼x -5.
10. Gradient of given line= 2
Parallel lines have the same gradient.
Thus, gradient of line= 2
Substitute m=2 into the equation:
y= 2x +c
When x= -4, y= 10,
10= 2(-4) +c
10= -8 +c
c= 10 +8 (+8 on both sides)
c= 18
Therefore, the equation of the line is y= 2x +18.