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How do you find the slope of a line passing through a given pair of points?
To find the slope of a line passing through a given pair of points is found by using the point slope formula. Y(2)-Y(1) over x(2) -x(1).
What is the formula for finding slope of a line using the coordinates of two points on a line?
you do y2-y1 over x2-x1
Find the slope of the line through the points -13 and 17?
There is not enough information to answer this question. As currently written, a geometric point with only one variable is operating only on the x-axis (one dimensional). Asking the slope between two points that only exist on the x-axis is automatically zero. Slope is normally calculated using points on a two-dimesional grid with each point being represented by (x,y). To calculate the slope in this case you take the change in y divided by the change in x. Example: Find the slope of the line through the points (-13,4) and (17,14). Slope = Change in Y/Change in X = (-13-17)/(4-14) = -30/-10 = 3
Are the only geometric objects that can be defined using the locus of points are straight lines circles and angle bisectors?
No, they are not the only geometric objects.
When you graph a line using only the slope and a point what step do you start with?
When you graph a line using only the slope and a point, you start by graphing the point.
How do you find the slope of a line passing through a given pair of points?
To find the slope of a line passing through a given pair of points is found by using the point slope formula. Y(2)-Y(1) over x(2) -x(1).
Find the slope of a line with the points (1 1) and (3 3) by using the slope formula?
Points: )1, 1) and (3, 3) Slope: 1
How do we identify the form of a slope using contour lines?
To identify the form of a slope using contour lines, we analyze their spacing and orientation. Closely spaced contour lines indicate a steep slope, while widely spaced lines suggest a gentle slope. Additionally, the shape of the contour lines can reveal the slope's form; for example, concentric circles represent a hill, while V-shaped lines pointing upstream indicate a valley. By observing these characteristics, we can assess the terrain's gradient and overall topography.
How are slopes related for perpendicular lines?
For two lines to be perpendicular, the product of their slopes must equal -1. If one line has a slope of ( m_1 ), the slope of the line perpendicular to it, ( m_2 ), can be found using the relationship ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope. Thus, if ( m_1 ) is not zero, ( m_2 = -\frac{1}{m_1} ).
What is the rate of change between any two points on a line?
it is the same as the slope, which can be found either graphically (rise over run) or algebraically using the formula (y2-y1)/(x2-x1)
How can you determine whether the contours on a topographic map show a gradual slope?
If the topographic lines are closer together it means that it has a steeper slope grade, if they are farther apart, it means that they have a more relaxed slope grade. There is usually a scale on the map that can tell you in exact measurements of the slope.
When creating a line using the slope-intercept form always plot atleast three?
In the case that you are using Slope-Intercept Form, no, you only plot two points: the y-intercept and one other point. If you don't use Slope-Intercept Form, then you have to use three points.
How do you find slope using x and y intercepts?
Your x and y intercepts give you two points on the line of the graph. Use these two points in the slope equation m = (y2-y1)/(x2-x1), and that gives you the slope.
How do you change two points into slope-intercept form?
To convert two points into slope-intercept form (y = mx + b), first calculate the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}), where ((x_1, y_1)) and ((x_2, y_2)) are the given points. Next, use one of the points and the slope to solve for the y-intercept (b) by substituting the values into the equation. Finally, rewrite the equation in the form y = mx + b using the calculated slope and y-intercept.
What is the equation for the linear model in the scatter plot obtained by choosing the two points closet to the line?
To determine the equation of the linear model based on two points from a scatter plot, you first identify the coordinates of the two points, say (x₁, y₁) and (x₂, y₂). The slope (m) of the line can be calculated using the formula ( m = \frac{y₂ - y₁}{x₂ - x₁} ). Once the slope is found, you can use the point-slope form ( y - y₁ = m(x - x₁) ) to write the equation of the line in slope-intercept form ( y = mx + b ) by solving for b using one of the points.
How many different lines can be drawn using 6 points if no 3 of which are collinear?
15 lines.
Map symbols of hills?
Hills on a map are typically represented by contour lines. These lines connect points of equal elevation and show the shape and steepness of the terrain. The closer together the contour lines are, the steeper the hill. Additionally, hills can sometimes be shown using hachure lines, which indicate the slope and direction of the hill.
