-2(x-3y)=18 Solve for y
2 answers:
You might be interested in
Answer:
(–1.4, 1.5)
Step-by-step explanation:
The blue line and the purple line are the lines corresponding to the equations of interest. Their point of intersection is in the 2nd quadrant, so is nearest to ...
(–1.4, 1.5)
__
It can be useful to understand that for equations in standard form:
ax +by = c
the x- and y-intercepts are ...
- x-intercept: c/a . . . . value of x for y = 0
- y-intercept: c/b . . . . value of y for x = 0
__
For the equations of interest, the first has intercepts of ...
x=2/3, y=1/2 . . . . graphed line makes a 1st-quadrant triangle with the axes (blue line)
And the second has intercepts of ...
x=-1, y=-4 . . . . graphed line makes a 3rd-quadrant triangle with the axes (purple line)
Since the purple line has a steeper slope, the point of intersection of the lines will be in the 2nd quadrant. There is only one 2nd-quadrant answer choice: (-1.4, 1.5).
as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.
parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,