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Which equation represents a line that is parallel to the line represented by?
To determine an equation that represents a line parallel to a given line, you need to identify the slope of the original line. Lines that are parallel have the same slope but different y-intercepts. Therefore, if the equation of the original line is in slope-intercept form (y = mx + b), any line parallel to it will also be of the form (y = mx + c), where (c) is a different constant.
If the constant term in the slope-intercept equation for a line determines what?
The x intercept.
How do you write an equation of parallel lines in slope-intercept form?
To write an equation of parallel lines in slope-intercept form (y = mx + b), first identify the slope (m) of the line you want to be parallel to, as parallel lines have the same slope. Then, choose a y-intercept (b) for the new line—this can be any value. Substitute the slope and the chosen y-intercept into the slope-intercept form to get the equation of the parallel line. For example, if the original line is y = 2x + 3, a parallel line could be y = 2x + 1.
What lines have a zero slope?
Lines with a zero slope are horizontal lines. This means they run parallel to the x-axis and have the same y-coordinate for all points on the line. In mathematical terms, a line with a zero slope can be represented by the equation (y = c), where (c) is a constant. Since the slope is calculated as the change in y over the change in x, a horizontal line indicates no change in y regardless of changes in x.
What is the slope of the line for the equation y equals 3?
The slope equation is y = mx + b where m is slope for y = 3 we have y = 0 (x) +3 so m = 0 = slope So slope is zero line is constant y = 3
Which equation represents a line that is parallel to the line represented by?
To determine an equation that represents a line parallel to a given line, you need to identify the slope of the original line. Lines that are parallel have the same slope but different y-intercepts. Therefore, if the equation of the original line is in slope-intercept form (y = mx + b), any line parallel to it will also be of the form (y = mx + c), where (c) is a different constant.
The constant term in the slope-intercept equation for a line determines the?
y intercept
If the constant term in the slope-intercept equation for a line determines what?
The x intercept.
What is a slope of a line parallel to the line whose equation is y equals 5x 4?
The slope is 5. Parallel lines always have the same slope.
How do you write an equation of parallel lines in slope-intercept form?
To write an equation of parallel lines in slope-intercept form (y = mx + b), first identify the slope (m) of the line you want to be parallel to, as parallel lines have the same slope. Then, choose a y-intercept (b) for the new line—this can be any value. Substitute the slope and the chosen y-intercept into the slope-intercept form to get the equation of the parallel line. For example, if the original line is y = 2x + 3, a parallel line could be y = 2x + 1.
What lines have a zero slope?
Lines with a zero slope are horizontal lines. This means they run parallel to the x-axis and have the same y-coordinate for all points on the line. In mathematical terms, a line with a zero slope can be represented by the equation (y = c), where (c) is a constant. Since the slope is calculated as the change in y over the change in x, a horizontal line indicates no change in y regardless of changes in x.
What are equation of lines?
y = mx + cWhere m is the gradient of the line and c is a constant (the intercept of the line).The equation of a line is typically written asy=mx+b where m is the slope and b is the y-intercept.If you know two points that a line passes through, this page will show you how to find the equation of the line.
What is the slope of the line for the equation y equals 3?
The slope equation is y = mx + b where m is slope for y = 3 we have y = 0 (x) +3 so m = 0 = slope So slope is zero line is constant y = 3
How do you make an equation with an undefined slope?
An equation with an undefined slope is typically in the form x = a, where 'a' is a constant number. This indicates a vertical line on the coordinate plane, where every point on the line has the same x-coordinate and no defined slope because the line is perfectly vertical.
What is the equation of a horizontal and a vertical line using standard slope form?
We usually denote the slope of a line as M. Horizontal lines have a slope of zero. Mhorizontal line = 0 Verticle lines have a slope that is undefined. Note that the slope is not infinite, but is undefined. Mvertical line = undefined To write the equation of a horizontal or vertical line, we need to know if it's going to be a slope-intercept form or a point-slope form.
What is the equation of a line in general form with a point -3 0 and an undefined slope?
You can have infinitely many lines through one specific point, each with a different equation. If you want to have a general equation for ANY line that goes through that point, use the point-slope equation for a line, and use a variable for the slope.
What is an equation that represents a line?
y=mx+b is the equation of a line in the plane in slope intercept form. The m is the slope and the b is the y intercept. There are many other forms of equations of lines.
