Straight lines Questions and Answers

From 1983 to 2003, the number B of federally insured banks could be approximated by B(t) = 322.6t+13787 where t is the year and t=0 corresponds to 1983. How many federally insured banks were there in 1988? Find the slope of the graph of B. Interpret this slope as a rate of change. Choose the correct answer below. The number of banks increased by 12174 banks per year The number of banks decreased by 322.6 banks per year The number of banks increased by 322.6 banks per year The number of banks decreased by 13787 banks per year The number of banks decreased by 12174 banks per year The number of banks increased by 13787 banks per year Find the y-intercept of the graph of B. The y-intercept is Interpret the y-intercept. Choose the correct answer below. The y-intercept is the maximum number of banks allowed in the country The y-intercept is the number of banks in 1983 The y-intercept is the minimum number of banks allowed in the country The y-intercept is the number of banks in 1988 The y-intercept is the number of banks in 2003

Find the functions which are parallel. I. 3x + 5y = 9 II. 3x + 8y = 12 III. 3x + 9 = -5y IV. 27x - 45y = 1 I and IV I and III II and III

Write the equation of the straight line passing through the point (5, 2) and having a slope of 1/2. y =1/2(x-1) y=2(x-2) y=1/2(x + 1)

Write the equation of the line that passes through the point (-8, 6) and has a slope of 4. y=4x-26 y=-4x-26 y = -4x+26

Write the slope-intercept form of the equation of the line with a slope of 2 and passing through the point (-4,-5). y=2x+3 y=-2x+3 y=2x-3

Determine the equation of the straight line with a slope 2 and passing through the point (1, 5). y=2x+3 y=10x-9 y=6x +15

Find the equation of the line passing through the points (2, 5) and (6, 1). y-x=7 y+x=-7 y+x=7

Determine the equation of the line, in y = mx+b form, perpendicular to 4x - 3y = 0 containing the point (-1, 2).

Graph the linear function by finding x- and y-intercepts. Then write the equation using function notation.. 2x - 4y = - 4

Graph the linear function by finding x- and y-intercepts. Then write the equation using function notation.. 2x - 4y= -4

Graph each of the lines in the following system to find the solution. y = -2x + 6 y=-3x+9

On the axes below, draw the graph of the function f(x) == -4x + 6.

The graph of a line in the xy-plane has slope 2 and contains the point (1,8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, b), what is the value of a + b? 4 3 -1 -4

Find an equation for the line perpendicular to 3x+6y= 54 and goes through the point (1, 3). Write your answer in the form y = mx + b.

Determine the solution to the system of equations below. 5x+6y=-44 -7x-7y= 49 Select the correct answer below: (2,-9) (8,-14) no solutions infinitely many solutions

What are the magnitude and direction of w = <-10, -12>? Round your answer to the thousandths place. ||w|| = 6.325; θ = 39.806° ||w|| = 14.422; θ= 219.806° ||w|| = 14.560; θ = 205.346° ||w|| = 15.620; θ= 230.194°