Table of Contents
What is the slope of a line which makes an angle of 60?
1/√3 1
The slope of a line which makes an angle of 60o with the positive direction of y – axis is. 1/√3. 1.
What is the slope of a line at a 45 degree angle?
1
A line at a 45-degree angle has a slope of 1.
What is the gradient of a line that has an angle of inclination of 70?
1 0.3640
Slopes vs. gradients vs. \% grades
| Slope | ||
|---|---|---|
| Angle (degrees) | Gradient | |
| 70 | 1 | 0.3640 |
| 71 | 1 | 0.3443 |
| 72 | 1 | 0.3249 |
What is the inclination of a line whose slope is √ 3?
Hence, angle of inclination of line is 60°.
What is the slope of a 40 degree line?
Slopes vs. gradients vs. \% grades
| Slope | ||
|---|---|---|
| Angle (degrees) | Gradient | |
| 40 | 1 | 1.192 |
| 41 | 1 | 1.150 |
| 42 | 1 | 1.111 |
What is the equation of a 45 degree line?
The equation for the 45-degree line is the set of points where GDP or national income on the horizontal axis is equal to aggregate expenditure on the vertical axis. Thus, the equation for the 45-degree line is: AE = Y.
What is the gradient of a line that has an angle of inclination?
4.3 Inclination of a line (EMBGD) This is called the angle of inclination of a straight line. Therefore the gradient of a straight line is equal to the tangent of the angle formed between the line and the positive direction of the x-axis. Gradient is undefined since there is no change in the x-values (Δx=0).
What is the angle of the slope of the line?
Slope: It is the tangent of the angle made by line with the positive direction of the x axis. If θ is the angle made by the line with the positive direction of the x-axis , then slope of the line is just tanθ. The angle is 60 degrees .
How do you find the slope of a negative line?
A line may have a negative slope – in case the angle it makes with the positive x -direction is an obtuse angle. The value of tan θ, in this case, will be negative, so m will be negative. For any line passing through the origin, the y -intercept will be (b = 0), so its equation will be of the form: y = mx.
How do you find the angle between two vertical lines?
If m2 − m1 1 + m1 m2 m 2 − m 1 1 + m 1 m 2 is positive then the angle between the lines is acute. If m2 − m1 1 + m1 m2 m 2 − m 1 1 + m 1 m 2 is negative then the angle between the lines is obtuse. Vertical lines have no slope, as they do not have any steepness.
What is the slope intercept form of a line?
Using the slope formula, the slope of a line joining two points (x 1 1, y 1 1) and (x 2 2, y 2 2) is, m = (y 2 2 – y 1 1 )/ (x 2 2 – x 1 1) This is the general equation of a straight line involving its slope and its y-intercept. This form of the equation of the line is therefore termed the slope-intercept form.