Exam 59: Lines

Find the inclination $\theta$ (in radians and degrees)of the line.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $3 x - 6 y - 11 = 0$ ​

Find the inclination $\theta$ (in radians and degrees)of the line passing through the points.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $( 4,5 ) , ( 7,8 )$ ​

The Falls Incline Railway in Niagara Falls,Ontario,Canada is an inclined railway that was designed to carry people from the City of Niagara Falls to Queen Victoria Park.The railway is approximately 180 feet long with a 42% uphill grade (see figure).Select the graph of the equation of the line that models the railway track.​ ​ $a = 180$ ​

Find the inclination Θ (in degrees)of the line with a slope of m.Round your answer to one decimal places.​ $m = 2$ ​

Consider a line with slope m and y-intercept (0,2).Write the distance d between the origin and the line as a function of m. ​

The given points represent the vertices of a triangle.Select the triangle ABC in the coordinate plane. ​ A = (0,0),B = (3,4),C = (4,-3) ​

Find the inclination Θ (in degrees)of the line with a slope of m.Round your answer to one decimal places.​ $m = - 1.5$ ​

Find the angle $\theta$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ 4x-4y=4 5x+4y=7 ​ ​

Find the inclination Θ (in degrees)of the line with a slope of m.Round your answer to one decimal places.​ $m = - 3$ ​

Find the distance between the point and the line.Round your answer to four decimal places. Point $~~~~~~~~~~~~$ Line $( 4,5 ) \quad 7 x + y = 1$ ​