You're already given the slope, so the first step you must take is to find the y-intercept. To do this, you substitute the values of the coordinate M into y = 5x + c, with the x value substituting x and the y value substituting y. This gives us:
2 = (5 × 1) + c
2 = 5 + c
- 5
-3 = c
So now you know that the y-intercept is -3, you can see that your final answer must be the first option, y = 5x - 3.
I hope this helps!
Reflection involves mirroring a point over a line.
<em>When L is reflected across the x and y axes, the new coordinates are (7,3)</em>
Given that:

When a point is reflected across the x-axis, the rule is:

So, we have:

When a point is reflected across the y-axis, the rule is:

So, we have:

Hence, the new coordinates of L are (7,3)
Read more about reflections at:
brainly.com/question/17983440
The area of the considered triangle RST is given by: Option A: 9 sq. units.
<h3>How to find the area of a triangle?</h3>
If we have:
- Length of its base = b units
- Its height = h units long,
Then we get:
Area of a triangle = 
The missing image is attached below.
If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.
Thus, we have:
Area of RST = half of length of RS (base) times length of UT (height)
As visible from image, we have:
Length of RS = 6 blocks of unit length = 6 units
Similarly, length of UT = 3 units
Thus, we get:
Area of RST = 
Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.
Learn more about area of a triangle here:
brainly.com/question/14503701