The slope-intercept formula can be written as follows:
y = mx + b
The variable "m" represents the slope of the line, while "b" represents the y-intercept. We'll start with the y-intercept.
We know that the y-intercept can be defined as the value of "y" when "x" is equal to zero. To do this, we will need to find point (0,y). The original problem gives us two points, one of which is (0,2). Because "x" is equal to zero, we know that the y-intercept is 2. Substitute this value into the slope-intercept formula:
y = mx + 2
Now we need to find the slope. Slope can be defined as the "rise" of the line over the "run" of the line. In other words, calculate the change in y-value over the change in x-value. To do this, we will use the "x" and "y" values of the two points given in the problem.
Starting with the y-values (rise), we have 2 and 4. The difference between these two values is 2. Moving on to the x-values (run), we have 0 and 8. The difference between these two values is 8. Now put rise over run and substitute this value into the slope-intercept formula:
y = (2/8)x + 2
Now simplify the right side of the equation:
y = (1/4)x + 2
We now have a complete slope-intercept formula of the line.
Answer - C. The ratio of the corresponding sides will be equal
Two triangles<span> can be shown to be </span>similar<span> if it can be proven that they have two sets of corresponding sides in equal proportion and that the corresponding angles, which they include are congruent.</span>
Replace R1 with 1 and R3 with 0 you have -2(1)+0 which equals 0 and that matches matrix II. Repeat the process with the other numbers in R1 and R3 and they all come out equal therefor the answer is D.
