The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be
y = b
, where the line’s slope is 0 (m = 0).
How will you describe a line with zero 0 slope?
Explanation: Lines with zero slopes neither rise nor fall as they cross the coordinate plane,
and thus are horizontal
.
Does zero slope mean no slope?
A lot of students get the concepts of “zero slope” and “no slope” confused when they’re first introduced. …
Zero slope means that the line is horizontal
. Just like the line that makes the top of a “Z” is horizontal. No slope means that the line is vertical.
What is the zero slope?
The slope of a line can be thought of as ‘rise over run.’ When the ‘rise’ is zero, then the line is horizontal, or flat, and the slope of the line is zero. Put simply, a zero slope
is perfectly flat in the horizontal direction
. The equation of a line with zero slope will not have an x in it.
Is a zero slope a function?
Yes,
a linear function can have
a slope of zero.
Does a straight line have a slope of zero?
The slope of a horizontal line is 0 because the line does not rise at all. In other words, for any two points on the straight line,
the change in y-value will always be 0
.
What is the equation of a line that has a slope of 0 and goes through the point 4 10 )?
y = m x + C
, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.
What is the formula for a line with slope 0 that passes through the point 2 3?
Explanation: Any horizontal line parallel to the x-axis has a zero slope. The horizontal line passing through (-2 ,3) has equation
y = 3
as it passes through all points in the plane with a y-coordinate of 3, as may be seen in the graph.
What is an equation of the line through 0 3 with slope 2?
The line passes through the point (0,3) and has a slope of 2. What is the equation of a line in slope-intercept form? Slope is 2, so it starts y=2x… 2x would be 0 as 2*0=0, but it’s 3, so you must add 3.
What is zero of a line?
Because the x -intercept (zero) is a point at which the function crosses the x -axis, it will have the value (x,
0
) , where x is the zero. All lines, with a value for the slope, will have one zero. To find the zero of a linear function, simply find the point where the line crosses the x -axis.
How do you find the equation of a line?
- 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.
What is the equation for the line that has a slope of 0 and passes through the point 3 7?
The line passes through the points (3,7) and has a slope of m=0 . Choosing a y-coordinate, we see that it passes through (3,7) , and so y2=y1=7 . Therefore, the line is
y=7
.
What is the equation of a line with a point (- 3 0 and no slope?
The equation of a line, in general form, with a point (-3, 0) and an undefined slope is
x + 3 = 0
.
What is the equation of a vertical line that goes through the point (- 4 0?
Since the required line is a vertical line, its equation will be of the form x=a . Since the line passes through the point (-4,0); the value of x-intercept a is -4. Hence, the equation of the line becomes:
x=−4. x = − 4.
What is the equation of the line that passes through 3 2 and 5?
Therefore, the equation of the line is
y = 3/2 x + 5
.
What is the slope of 0 3?
Algebra Examples
Remove the parentheses around the expression 0,3 0 , 3 . The equation is not linear, so
the slope does not exist
.
Which is an equation of the line that passes through 0 3 with slope 2 5?
The equation of a line is written in the form of
y=mx+b
. From the information given we can use: (y – y
1
) = m*(x – x
1
); with (x
1
, y
1
) as (0, -3); and m = 2/5 from the problem. y = 2x/5 – 3, answer.
What is the equation of a line that passes through the points 1/3 and − 2 5?
y = 2x + 1
this is slope-intercept form. 2x – y = -1 this is standard form.
