parallel to the line y=4x+3, and that has the same y-intercept as the line y=5x-3.?

Answer 1

The line y = 4x + 3 has many parallel lines. you just need to change the constant (here, +3), which is the y intercept.
y = 4x + c
(same slope as the original equation (since x is multiplied by the same number), the only difference is where this parallel line crosses the y-axis (the y-intercept). The constant moves the line up/down on the y-axis.)

When x = 0, this gives you the y-intercept.
y = 4x + c
y = 4*(0) + c
y = 0 + c
y = c


For the line y = 5x - 3, find the y-intercept.
y = 5*(0) - 3
y = 0 - 3
y = -3

Now that you have the y-intercept of the second line y = 5x -3, you can use this y-intercept to find the line parallel to your first line by plugging in the y-intercept value for c.
y = 4x + c
y = 4x + (-3)
y = 4x -3

Answer 2

For two lines to be parallel to each other they would need to have the same slope. In the slope intercept form equation for a line y=mx + b; m represents the slope and b the y-intercept. So the slope of the first line is 4. To have the same y-intercept as the second line it would need to pass through -3. The equation for the line should be

y=4x-3

Answer 3

The formula for a line: y = mx + b
where m is the slope and b is the y intercept

Since we know the line is parallel to y = 4x + 3, it must have the same slope. Referring to the formula above then, the slope of our line is 4.

The line has the same y-intercept as the line y = 5x - 3. Referring to the formula above then, the y-intercept of our line is -3.

y = mx + b
y = 4x - 3


For more information on the formula y = mx + b, see:
http://mathforum.org/cgraph/cslope/mxplusb.html

Answer 4

slope is 4 because it is parallel to y=4x+3

it passes through the point (0,-3) because it has the same y-intercept as the line y=5x-3

y + 3 = 4 ( x - 0)

y = 4x - 3

Answer 5

if the line is parallel to y=4x+3 it has the same slope which is 4.

so its equation is 4x+b=y

the y intercept of y=5x -3 is y=-3

so -3 =b

and y=4x-3

Answer 6

Parallel lines have the same slope, so you use the slope of the first line. That's what the x is multiplied by, so slope =4

y-intercept is always the number by itself (the constant), so using the second line, it has a y-intercept of -3, so y-intercept = -3.

Thus, the equation for the line we want is y=4x-3 (plug the slope & y-intercept in).

Answer 7

+3 and -3 are not the same. these lines have nothing in common. y=5x-3 goes from up to down, and y=4x+3 goes from down to up.

Answer 8

the first lines' slope is 4
as such, our line is y=4x+b
it has the same y-intercept as the line y=5x-3
the y-intercept is : y=-3
for our line: -3=4*0+b , b=-3
as such, our line certainly is y=4x-3

Answer 9

y = 4x - 3

Answer 10

4x-3