Somehow, sadly, the list of allowed choices that you carefully included with your question
has been lost.
The equation in the question can be re-arranged and written in slope-intercept form as
y = -5/2 x + 5
This tells us that the graph of the equation has a slope of -5/2 and a y-intercept of 5.
Any line with the same slope and a different intercept is parallel to this one. So the equation
of a parallel line is
y = -5/2 + (any number except 5)
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
You are missing a - or + sign. The answer is 5/2 though. :)
1, it will have the same slope but the y intercept will be different.
Your answer can vary as long as it has a slope of 1. So it could be y=x+(insert number here)
All you have to do is rearrange to equation . . . 2y-5x=10 so that it looks like y=(5/2)x + 5 this new form is slope-intercept form. it should look familiar and is generally written as y=mx + b where m is the slope and b is the y-intercept. so to find a line parallel to y=(5/2)x + 5 all you have to do is look at the slope. since the slope is (5/2) or 2.5 any line with a slope of 2.5 regardless of the y-intercept will be parallel
When a straight line equation is parallel to another equation the slope remains the same but the y intercept changes
The slope is 5. Parallel lines always have the same slope.
You are missing a - or + sign. The answer is 5/2 though. :)
y=-(2/3)x + (n) where n can be any integer.
1, it will have the same slope but the y intercept will be different.
y -4 = 3(x-3)y = 3x -5
Your answer can vary as long as it has a slope of 1. So it could be y=x+(insert number here)
All you have to do is rearrange to equation . . . 2y-5x=10 so that it looks like y=(5/2)x + 5 this new form is slope-intercept form. it should look familiar and is generally written as y=mx + b where m is the slope and b is the y-intercept. so to find a line parallel to y=(5/2)x + 5 all you have to do is look at the slope. since the slope is (5/2) or 2.5 any line with a slope of 2.5 regardless of the y-intercept will be parallel
2y= 3x+6
The equation of a parallel line is of the form 2x - y = c for some c. (-3, -11) is on this lime so 2*(-3) - (-11) = c -6 + 11 = c so that c = 5 and therefore, the equation is 2x - y = 5
Rearranging the original equation, we get y=-(2/3)x+12. Since 12 is the constant, this is the point that the line of this equation will cut the y-axis if x=0. Therefore, -(2/3) is the gradient and for an equation to produce a parallel line, the gradient must be equal. Summing up, y=-(2/3)+c (where c equals any real number) would be parallel
If you mean: y = 0.5x-10 then an equation parallel to it will have the same slope of 0.5 but a y intercept different to -10