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What is the ratio of the vertical change (rise) to the horizontal chnage (run) of a nonvertical line?

It is called the slope of a line.


What is nonvertical line is the ratio of the vertical change to the horizontal change between any two points on a line?

The slope.


What is the answer for slope 3 and y-intercept -10?

They determine the equation of a nonvertical line in the slope-intercept form, y = 3x - 10.


What is the ratio of the rise and run between any two points on a nonvertical line called?

it is called the slope


Does any nonvertical line have a slope and y-intercept?

Normally yes, but if the slope passes through the origin (0, 0) then it will have no y intercept.


Every nonvertical line on a Cartesian coordinate system can be defined by an equation?

True. -


How do you find a slope of a line perpendicular?

If two nonvertical lines are perpendicular, then the product of their slope is -1.An equivalent way of stating this relationship is to say that one line is perpendicular to another line if its slope is the negative reciprocal of the slope of the other. For example, if a line has slope 3, any line having slope - 1/3 is perpendicular to it. Similarly, if a line has slope - 4/5, any line having the slope 5/4 is perpendicular to it.


Which of the following is perpendicular to 3x-y5?

3x - y = 5 is the equation of a nonvertical line. Definition: Two nonvertical lines are perpendicular if their slopes are negative reciprocals of each other. So we need to find the slope of the given line, and check which of the other lines have a slope that satisfies the definition. Solve for y. 3x - y = add y and subtract 5 to both sides 3x - 5 = y which yields the slope of 3 Thus, the line that have a slope of -1/3 is the required line.


What are the slope and yintercept of line 5x 10y 15?

Without the inclusion of an equality sign and not knowing the plus or minus values of the given terms it can't be considered to be a straight line equation


How do you write an equation of a line that passes through the xintercep and yintercept?

You can write it either in standard form (ax + by = c) or in slope-intercept form (y = mx + b)


What is the answer to this equation y equals -x?

A straight line, at an inclination of 45 degrees (from SW to NE) if the scales for the two axes are the same.


Why does the ratio of rise and run in a linear function always the same?

The ratio of rise and run in a linear function (which its graph is a nonvertical line) is called the slope of the line. We can calculate the slope of the line by using any two points on the line and always the ratio of changes on their y-coordinates and the changes on x-coordinates (rise and run) is constant (unchanged). The reason is that two points determine a line and its direction, so the line is fixed and extends without end in that direction. Any line intersects the x-axis only at one point (we call it the x-intercept point) by forming an angle α (the inclination angle), where 0˚ ≤ α < 180˚, that is measured from the positive x-axis to the line. There is a theorem that state that the slope of a nonvertical line is the tangent of its inclination: m = tan α if α ≠ 90˚ (if α = 90˚, then the line is vertical and has no slope).

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