write an equation of the line containing the given points and parallel to the given line (7,8) x + 3y = 7 can some one please help I am very sick an have to have this in by 11:59 tonight thank you in advance.
figure the slope of the given line:
y= -1/3 x +7/3 slope -1/3
then put this slope into the standard form
y= mx+b
y= -1/3 x +b
put your given point (7,8) into that equation, and solve for b.
equation of the line then will be
y=mx+b and you know m, and b.
thank you very much
write the equation of a line that is parallel to the line x - 3y = 15 and contains the point (-9, 8)
To determine the equation of a line that is parallel to the given line and also passes through the point (7,8), we can follow these steps:
Step 1: Understand the given equation
The given equation is in the form of "x + 3y = 7", where the coefficients of x and y are 1 and 3, respectively.
Step 2: Find the slope of the given line
To find the slope of the given line, we need to rearrange the equation to be in slope-intercept form, which is y = mx + b (where m represents the slope and b is the y-intercept). By doing so, we get the equation: 3y = -x + 7. To isolate the term with y, we divide the entire equation by 3: y = (-1/3)x + (7/3).
Comparing this equation to the slope-intercept form, we can see that the slope is (-1/3).
Step 3: Determine the slope of the parallel line
Since the parallel line will have the same slope as the given line, we know that the slope of the parallel line is also (-1/3).
Step 4: Use the point-slope form to find the equation
Using the point-slope form, which is y - y1 = m(x - x1), we substitute the given point (7,8) and the slope (-1/3) into the equation:
y - 8 = (-1/3)(x - 7)
Now, we can simplify and rearrange this equation to obtain the final equation of the line:
3(y - 8) = -1(x - 7)
3y - 24 = -x + 7
3y = -x + 31
Therefore, the equation of the line that is parallel to "x + 3y = 7" and passes through the point (7,8) is 3y = -x + 31.