give the slop of each line and then determine whether two lines are parallel, perpendicular, or neither parallel nor perpendicular. 2x+5y=5, 4x+10y=0
ratio of x and y coefficient of first = 2 : 5
ratio of x and y coefficients of 2nd = 4 : 10 = 2:5
but the constants are not in that ratio, so
you have two parallel lines
okiu
To find the slope of a line given in the form of Ax + By = C, we need to rewrite the equation in slope-intercept form, y = mx + b, where m represents the slope. Then, we can compare the slopes to determine if the lines are parallel, perpendicular, or neither.
Let's find the slope of the first line, 2x + 5y = 5:
Step 1: Rewrite the equation in slope-intercept form by isolating y:
2x + 5y = 5
5y = -2x + 5
y = (-2/5)x + 1
From this form, we can see that the slope (m) of the first line is -2/5.
Now let's find the slope of the second line, 4x + 10y = 0:
Step 1: Rewrite the equation in slope-intercept form by isolating y:
4x + 10y = 0
10y = -4x
y = (-4/10)x
y = (-2/5)x
We can observe that the slope (m) of the second line is also -2/5.
Now, let's compare the slopes to determine the relationship between the two lines:
Since the slopes are both -2/5, we can conclude that the lines are parallel.