So the first thing we can notice is that we are given the equation of the line parallel to the one we need to find. Two parallel lines always have the same slope. We can tell by looking at the equation that the slope of the line that we have been given is 1 and since the lines are parallel the slope of the line we need to find is also 1.
Knowing this and a point that the line passes through, we can find the y-intercept or b:
y = mx + b
4 = 1(1) + b
4 = 1 + b
3 = b
Since we know that the y-intercept is 3, we can plug this back into the slope intercept form equation along with the slope to get our equation:
Coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables. The coefficients of an algebraic term can be positive or negative, and this multiplies the unknown term.
For example:
In 2a, 2 is the coefficient of a;
In x, 1 is the coefficient of x but it is not visible;
In 2/3p, 2/3 is the coefficient of p;
In -3f, -3 is the coefficient of f.
In 2t + t -f + 2f + 8, 3 is the coefficient of x and 1 the coefficient of y (2t + t = 3t, - f + 2f = f)
Variable is a symbol, commonly a single letter, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation for the variables that represent them.
In Quadrant 2, cosine will be negative so we can eliminate options B and C. If tan theta = -4/3 we know the opposite side to theta is 4 and the adjacent side to theta is 3. Using Pythagorean Theorem, the hypotenuse is 5 which means cos theta = adjacent / hypotenuse = -3/5.
