The equations for lines g and d are: g: y = (-2)x + 5 d: y = (-2)x - 5
To write an equation for lines g and d, we can use the following steps:
Step 1: Identify the slope of lines x and y. We can see that lines x and y are parallel, so they have the same slope. The slope of line x can be calculated as follows:
slope of line x = (change in y) / (change in x) = (10 - 0) / (0 - 5) = -2
Therefore, the slope of lines g and d is also -2.
Step 2: Identify the y-intercept of lines g and d We cannot see the y-intercept of lines g and d from the image, so we need to make an assumption. Let's assume that the y-intercept of line g is 5.
Step 3: Write the equation of line g. The equation of a line in slope-intercept form is:
y = mx + b
where m is the slope of the line and b is the y-intercept of the line.
Therefore, the equation of line g is:
y = (-2)x + 5
Step 4: Write the equation of line d. Since line d is parallel to line g, it has the same slope as line g. The only difference between the two lines is their y-intercept. Let's assume that the y-intercept of line d is -5.
Therefore, the equation of line d is:
y = (-2)x - 5
The equations for lines g and d are:
g: y = (-2)x + 5
d: y = (-2)x - 5
We can see that these equations have the same slope but different y-intercepts, which is consistent with the fact that lines g and d are parallel.