Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + bWe need to solve for b.

10 = 16 + b

b = -6

Hence, the line parallel to y = 2x - 5 with the given characteristics is y = 2x - 6

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step-by-step explanation: