Is the Y intercept of two perpendicular lines the same?
They are not the same line. The slopes of the lines are the same and they have different y-intercepts, so they are not the same line and they are parallel. Perpendicular Lines. Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other.
How do you find slope with x and y values?
The equation for finding the slope is: m = [y1 – y2] / [x1 – x2]. If you know x, you can solve for y to find the y value for the slope of the line.
How do you find B in a perpendicular line?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Can two different lines have the same y-intercept?
Explanation: If two lines have different slopes, they cannot be the same line. However, if they share a y-intercept, that means they cross the y -axis at the same y value. If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.
How do you find the Y intercept of a perpendicular line?
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
How are X intercepts and y intercepts different?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
How do you find B when given two points?
Steps to find the equation of a line from two points:
- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.