Question 531630
A line parallel to 5x + 2y = 2 will have the same slope.
So, what is the slope? Begin by getting it into slope-intercept form.
y = mx +b
.
2y = -5x +2
y = -(5/2)x + 1
.
A parallel line will have slope = -(5/2).
.
y = -(5/2)x + b
.
Use the point (-1,0) to find 'b'.
.
0 = -(5/2)(1) + b
.
5/2 = b
.
y = -(5/2)x + 5/2
.
In the following graph:
the red line is y = -(5/2) + 1
the green line is y = -(5/2) + 5/2
.
{{{ graph(500,500,-5,5,-5,5,-5/2*x +1, -5/2*x+5/2) }}}