<u>Answer:</u>
<u>y+1=-2(x-5)</u> - Point Slope Form
<u>y=-2x+9</u> - Slope Intercept Form
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Step-by-step explanation:
We will be using point-slope formula, as attached in a picture below.
1) Plug in the slope -2 as "m" in point slope form, along with the two points, (5, -1)
<u>y+1=-2(x-5)</u>
2) Next, if you want to put the line into slope-intercept form, you will need to distribute -2 to x and -5:
y+1=-2x+10
3) Now, subtract 1 from both sides:
<u>y=-2x+9</u>
First of all, let's find the slope of line L. To find the slope of a line, you write it in the explitic form , and consider the coefficient
. So, we have
So, the slope of line L is 2/3.
Two lines are parallel if they have the same slope. So, line M has slope 2/3 as well, and we know that it passes through the point (3, -10).
When you are given the slope and a point
of a line, its equation is given by
So, if you plug your values, you have
which you can simplify into
