When the equation of a line is written in the form of
Y = (first number) x + (second number)
then the first number is the slope of the line, and the second number
is the "y-intercept" ... the height where the line crosses the y-axis.
This form of the equation is called the "slope - intercept" form, because
when the equation is in that form, the slope and intercept are so obvious.
Both of the first two examples are written in that form, so you can read
the slope directly from the equations.
The slope of the first one is 2/3 .
Now, here's a Very Important Factoid: Parallel lines have the same slope.
So a line parallel to the first example has a slope of 2/3 .
Now I'm sure you can do the second one on your own.
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The second set of examples just wants you to write each one in that form.
That just means to solve each equation for 'y'.
When you do that, you'll have Y = (first number) x + (second number)
and that's the "slope-intercept" form.
First one: x - 2y = 7
Subtract 'x' from each side: -2y = -x - 7
Divide each side by 2 : -y = -1/2 x - 7/2
Multiply each side by -1 : y = 1/2 x + 7/2
Second one: 7x + 2y = 28
Subtract 7x from each side: 2y = -7x + 28
Divide each side by 2 : y = -7/2 x + 14
Now I think you can do the other two on your own.
