To write the equation of a line that is parallel to ( y = 23x - 2 ), you need to use the same slope, which is 23. The point through which the line passes is (-4, 7). You can use the point-slope form of the equation of a line: ( y - y_1 = m(x - x_1) ). Substituting in the slope (23) and the point (-4, 7), the equation becomes ( y - 7 = 23(x + 4) ), which simplifies to ( y = 23x + 99 ).
As for example: y = 3x+6 and y = 3x+9 are parallel to each other because they have the same slope or gradient but different y intercepts
Coordinate geometry
Y=2x+6
(0,-6) m=-2
To find the equation of a line parallel to ( y = 3x + 5 ), we need to use the same slope, which is 3. Using the point-slope form, we can write the equation as ( y - 3 = 3(x + 2) ). Simplifying this gives ( y = 3x + 9 ). Thus, the equation of the line in slope-intercept form is ( y = 3x + 9 ).
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
Parallel straight line equations have the same slope but with different y intercepts
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
If you mean: y = -23x+3 then the parallel equation is y = -23x+164
If you mean y = 3x+8 then the parallel equation will have the same slope and works out as y = 3x+13
Write the equation of the line that passes through the points (3, -5) and (-4, -5)
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
sda
y+7=-4 the answer to the problem is y=-11
As for example: y = 3x+6 and y = 3x+9 are parallel to each other because they have the same slope or gradient but different y intercepts
Coordinate geometry
If the slope of the given equation is 1/5 then the slope of the parallel equation will be the same which works out as: y-8 = 1/5(x-3) => y = 1/5x+7.4