WebExample : The equation of a line is 3x + 4y + 5 = 0. Determine the slope and y-intercept of the line using the slope intercept form. Solution: We re-arrange the equation of the line to … WebThe equation of the line PQ is 3y – 3x + 7 = 0 (i) Write down the slope of the line PQ. (ii) Calculate the angle that the line PQ makes with the positive direction of the x-axis. Solution: Question 9. The given figure represents the line y = x + 1 and y = √3x – 1. Write down the angles which the lines make with the positive direction of the x-axis.
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WebFeb 17, 2024 · θ = 150∘ = 5π 6 is the inclination of the given line. Explanation: Recall the definition of the inclination of a line L: If m is the slope of line L and θ is the inclination of line L,then: tan(θ) = m, and θ ∈ [0,π). (1) So, to find the inclination of a line, we can start by finding its slope, and then use eqn. (1). WebCalculus. Find the Tangent Line at the Point y=3x^2 , (2,12) y = 3x2 y = 3 x 2 , (2,12) ( 2, 12) Find the first derivative and evaluate at x = 2 x = 2 and y = 12 y = 12 to find the slope of the tangent line. Tap for more steps... 12 12. Plug the slope and point values into the point - slope formula and solve for y y. alexandra grecco sydney
Inclination - Definition, Meaning & Synonyms Vocabulary.com
WebAngle between two lines helps to know the relationship between the two lines. It is the measure of the inclination between the two lines. Let us check the formula, and examples … Web(iv) inclination = 30°, y-intercept = 2 Solution: Equation of a line whose slope and y-intercept is given by: y = mx + c, where m is the slope and c is the y-intercept (i) Given: slope = 3, y-intercept = – 5 ⇒ y = 3x + (-5) Hence, the equation of line is y = 3x – 5. (ii) Given: slope = -2/7, y-intercept = 3 ⇒ y = (-2/7)x + 3 y = (-2x + 21)/7 WebJul 25, 2024 · Find the angle of inclination of x 2 4 + y 2 4 + z 2 8 = 1 at the point ( 1, 1, 2). Solution First compute ∇ F = x 2, y 2, z 4 . Now plug in to get ∇ F ( 1, 1, 2) = 1 2, 1 2, 1 2 . … alexandra hrh divorce