Determine which two equations represent parallel lines.
(a) y = 5/7x + 4
(b) y = -7/5 x – 8
(c) y = 9x + 11
(d) y = 9x – 4
which have the same slope?
which have the same slope?
To determine which equations represent parallel lines, we need to find the equations that have the same slope.
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope.
Let's compare the slopes of the given equations:
(a) y = 5/7x + 4
The slope of equation (a) is 5/7.
(b) y = -7/5 x – 8
The slope of equation (b) is -7/5.
(c) y = 9x + 11
The slope of equation (c) is 9.
(d) y = 9x – 4
The slope of equation (d) is also 9.
Now, we can see that equations (c) and (d) both have a slope of 9. Therefore, equations (c) and (d) represent parallel lines since they have the same slope.