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Find Equation of a Line Video Lecture | Quantitative Aptitude (Quant) - CAT
FAQs on Find Equation of a Line Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is an equation of a line? |  |
An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of points on the line. It is typically written in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.
| 2. How do you find the equation of a line given two points? | |
To find the equation of a line given two points, you can use the slope-intercept form of a line. First, calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Then, substitute the slope and one of the points into the slope-intercept form y = mx + b to find the value of b. This will give you the equation of the line.
| 3. What is the y-intercept of a line? | |
The y-intercept of a line is the point where the line crosses the y-axis. It is the value of y when x is equal to zero. In the equation y = mx + b, the value of b represents the y-intercept.
| 4. How do you find the slope of a line given its equation? | |
To find the slope of a line given its equation in the form y = mx + b, you can simply read the coefficient of x. The coefficient of x represents the slope of the line. If the equation is not in slope-intercept form, you may need to rearrange it to identify the slope.
| 5. Can you find the equation of a line if you only know its slope and y-intercept? | |
Yes, you can find the equation of a line if you know its slope (m) and y-intercept (b). You can use the slope-intercept form y = mx + b and substitute the given values of m and b into the equation. This will give you the equation of the line in the form y = mx + b.
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