What is an equation that is parallel to the line y=-4x+1?
y=-4x+3
y=-4x-9
y=-4x+12
y=-4x-45
y=-4x-5 are all parallel lines
how did you come up with those answers?
don't have all parallel lines have the same slope?
and did I not keep the slope of all my examples as -4?
remember that in y = mx + b, the slope is m.
so changing the last number b has no effect on the slope, it simply translates the line either up or down parallel to itself.
To find an equation that is parallel to the line y = -4x + 1, we can use the fact that parallel lines have the same slope. The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope of the line.
In the given equation y = -4x + 1, you can see that the coefficient of x, which is -4, represents the slope of the line. So, any line that is parallel to y = -4x + 1 must also have a slope of -4.
To create an equation parallel to y = -4x + 1, we can use a different y-intercept (b value) while keeping the same slope.
For example, let's say we want to find an equation parallel to y = -4x + 1 with a y-intercept of 5.
The slope remains the same (-4), and the y-intercept becomes 5. Substituting these values into the slope-intercept form, we get:
y = -4x + 5
Therefore, the equation y = -4x + 5 is an example of a line that is parallel to y = -4x + 1.