To find the slope-intercept form of a line parallel to the given line, we first need to determine the slope of the given line (2x + 3y = 9). Rewriting it in slope-intercept form (y = mx + b), we get (3y = -2x + 9) or (y = -\frac{2}{3}x + 3), so the slope (m) is (-\frac{2}{3}). Since parallel lines have the same slope, the equation of the new line with a y-intercept of -2 is (y = -\frac{2}{3}x - 2).
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.
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. Without the specific equation, it is not possible to determine the values of m and b for the slope-intercept form.
To work out the equation of a straight line a pair of coordinates are needed or a coordinate and its slope. But in general when lines are parallel to each other on the Cartesian plane they have the same slope but with different y intercepts.
The general form of the slope-intercept equation is y = mx + b. In that equation, the slope is m and the y intercept is b.
The equation of a line in slope-intercept form is given by ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. Given a slope of -2 and a y-intercept of 2, the equation is: [ y = -2x + 2. ]
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.
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. Without the specific equation, it is not possible to determine the values of m and b for the slope-intercept form.
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
The line 'Y = - 3' has a slope of zero. Any line parallel to it also has a slope of zero. The line parallel to it with a Y-intercept of 7 is: Y = 7
To work out the equation of a straight line a pair of coordinates are needed or a coordinate and its slope. But in general when lines are parallel to each other on the Cartesian plane they have the same slope but with different y intercepts.
Since the two lines are parallel, then they have the same slope, 3. Thus, the equation of the line with y-intercept -4, and parallel to y = 3x - 3 is y = 3x - 4.
The general form of the slope-intercept equation is y = mx + b. In that equation, the slope is m and the y intercept is b.
The slope-intercept form of an equation is: y = mx + b Just copy down this equation, then replace "m" with the slope, and "b" with the y-intercept.
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
y = -3x + 7 is an equation which gives us a line parallel to the line y = -3x + 1, or the line -3x - 1. The equation given represents the slope-intercept form of the equation for a line. Slope-intercept takes the form y = mx + b. In this form the the value of m represents the slope of the line, while b represents the Y intercept. All lines with the same slope are parallel (unless they're exactly the same.) So to find a parallel line, we simply adjust the Y intercept to any value other than the one given.
The equation of a line in slope-intercept form is given by ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept. Given a slope of -2 and a y-intercept of 2, the equation is: [ y = -2x + 2. ]