There are 17.8 grams of salt in a solution. If 5.9 grams of salt are added to the solution, how many grams of salt will be in th
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The statement about the line that passes through (-2, 0) and (2, -4) that are true are:
Option B:The line intersects the y-axis at (0, −2).
Option C: The equation of the line is y = −x − 2.
Option D: The line intersects the x-axis at (−2, 0).
<u>Solution:</u>
Given, two points are (-2, 0) and (2, -4)
We have to select the options that states true about line that passes through given two points.
Now, let us find the line equation that passes through given two points using point slope form.
Now slope "m" is given as:
Then, line equation = y – 0 = -1(x – (-2))
y = -1(x + 2)
y = -x – 2 --- equation 1
Now let us check options.
<u>Option a)</u> slope of line is 1
We know that slope of our line is -1 so this option is wrong.
<u>Option b)</u> line intersects y – axis at (0, -2)
When line meets y – axis x becomes 0 ⇒ 0 + y + 2 = 0 ⇒ y = -2 so point is (0, -2).
This option is right.
<u>Option c) </u>equation of line is y = -x – 2
The given equation is x + y + 2 = 0 ⇒ y = -x – 2 . so this option is correct.
<u>Option d) </u>line intersects at (-2, 0)
When line meets x – axis y becomes 0 ⇒ x + 0 + 2 = 0 ⇒ x = -2. So point is (-2, 0).
This option is right.
Hence, options b, c, d are correct.