Find the coordinate increments from A to B with the points A(4,2) and B(-1,3)
Find the coordinate increments from A to B with the points A(4,2) and B(-1,3)
Simply do two separate equations. Delta(x) -1-4 = -5 and then Delta(y) 3-2 = 1
Write the point-slope equation for the line through the point P(-2,1) with slope m= 3
Simply plug and chug into point slope: y = (x-x1)+y1
Write the slope-intercept equation for the line with slope m=3 and y-intercept b=2
Simply plug and chug into slope-intercept form: y=mx+b
Find the slope and y-intercept of the line x/2-y/6=1
1) Cancel out all the fractions by multiplying the ENTIRE equation by the denominators. 2) Solve for y.
Write the general linear equation for the line through the two points (1,1) and (2,3)
1) Do delta(y) over delta(x) to find the slope of the two points. 2) Plug into point-slope equation. 3) Simplify.
Determine whether the function is even, odd, or neither.
1) Evaluate the equation for f(-x). If you get the same answer as f(x), it is even. 2) Next, evaluate the equation for -f(x). If it is equal to answer for f(-x), it is odd. 3) If neither are equal in answers, it is neither.
Write an equation for the line through P:(-5,3) that is (a) parallel to and (b) perpendicular to L: 4x+y=1
1) First of all, find the slope by turning the equation into slope-intercept form. 2) Plug the points into point-slope form and that will be the answer for (a). 3) Take the slope and do the inverse reciprocal. 4) Plug it in with the same points into point-slope form and that will be the answer for (b).
Find (a) f(g(x)), (b) g(g(x)), and (c) f(f(1)) for f(x)=x+1 and g(x)=x^2-3.
1) Set up g(x) first. In this case, (x^2)-2
Find the slope of line containing the points A(6,1) and B(-1,-2)
Delta(y) Delta(x)
Identify the domain and range of the functions.
Graph it into the calculator and look for approximately where the issues may lie. REMEMBER: () mean the endpoints of the interval are NOT solutions [] means they ARE solutions
Write an equation for (a) the vertical line and (b) the horizontal line through the point P(-2,5)
a) Find the x, as there is no y in a vertical line. b) Find the y, as there is no x in a horizontal line.
