Find the equation of a line whose (i) slope = 3, y-intercept = -5. (ii) slope = , y-intercept = 3. (iii) gradient = , y-intercept = (iv) inclination = 30°, y-intercept = 2.

Question

KnowledgeBoat · Accepted Answer

(i) The equation of the straight line is given by, y = mx + c, where m is the slope and c is the y-intercept. Given slope = 3 and y-intercept = -5. Putting values in equation we get, y = 3x - 5. Hence, the equation of the straight line is y = 3x - 5. (ii) The equation of straight line is given by, y = mx + c, where m is the slope and c is the y-intercept. Given slope = and y-intercept = 3. Putting values in equation we get, Hence, the equation of straight line is 2x + 7y - 21 = 0. (iii) The equation of straight line is given by, y = mx + c, where m is the slope and c is the y-intercept. Given slope = and y-intercept = . Putting values in equation we get, Hence, the equation of straight line is (iv) The equation of straight line is given by, y = mx + c, where m is the slope and c is the y-intercept. Given inclination = θ = 30° and y-intercept = 2. Slope = m = tan θ = tan 30° = Putting values in equation we get, Hence, the equation of straight line is

Mathematics

Find the equation of a line whose (i) slope = 3, y-intercept = -5. (ii) slope = , y-intercept = 3. (iii) gradient = , y-intercept = (iv) inclination = 30°, y-intercept = 2.

Straight Line Eq

Related Questions

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The equation of the line PQ is 3y - 3x + 7 = 0.
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Mathematics

Find the equation of a line whose (i) slope = 3, y-intercept = -5. (ii) slope = , y-intercept = 3. (iii) gradient = , y-intercept = (iv) inclination = 30°, y-intercept = 2.

Straight Line Eq

Related Questions

Find the equation of a straight line parallel to y-axis which is at a distance(i) 3 units to the right(ii) 2 units to the left.

The 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 x-axis.

Find the equation of a straight line parallel to y-axis and passing through the point (-3, 5).

Find the equation of a straight line parallel to y-axis which is at a distance
(i) 3 units to the right
(ii) 2 units to the left.

The 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 x-axis.