If you mean y = 3x+8 then the parallel equation will have the same slope and works out as y = 3x+13
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
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
Write the equation of the line that passes through the point (0, 8) and is parallel to the line with equation 8x + 4y = 5.SolutionTwo lines are parallel if they have the same slope.First, we write the slope-intercept form for the given line:8x + 4y = 5 subtract 8x to both sides;4y = -8x + 5 divide by 4 to both sides;y = -2x + 5/4So, the slope of the two lines is -2.By using the point (0, 8), we can write the point-slope form of the required line:(y - y1) = m(x - x1)(y - 8) = -2(x - 0)y - 8 = -2x add 8 to both sides;y = -2x + 8 add 2x to both sides;y + 2x = 8 or2x + y = 8This is the general form of the line that passes through the point (0, 8) and is parallel to the line 8x + 4y = 5
x = 1 (the line intersects the x-axis at 1, and is parallel to the y-axis)We cannot write the equation on the Slope-intercept form, since the slope of the line is undefined. 1 is the x-coordinate of any point on the given line.
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
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
Y=2x+6