Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

the ordered pair (4, 2) ; x equals negative 3.
A. y equals 2.
B. y equals 2 x plus 4.
C. y equals 4 x.
D. x equals 4.

x = -3 is a vertical line. So you want

x = 4

why type all those words, when you have handy math symbols?

Sup bruh

To determine the equation of a line that is parallel to a given equation and passes through a given point, we need to find the slope of the given equation first.

In this case, the given equation is x = -3. Since this is a vertical line, its slope is undefined.

Since the line we are trying to find is parallel to the given equation, it will also be a vertical line with an undefined slope.

Vertical lines have the equation x = a, where "a" is the x-coordinate of any point on the line. In this case, the line passes through the point (4, 2), so the equation is x = 4.

Therefore, the correct answer is (D) x = 4.

To find an equation in slope-intercept form (y = mx + b) of a line that is parallel to a given line, we need to determine the slope of the given line and then use the given point to find the y-intercept.

First, let's determine the slope of the given line. The equation x = -3 is a vertical line that passes through the x-coordinate -3. Vertical lines have undefined slopes. So, the slope of this line is undefined.

Since we are looking for a line that is parallel to this vertical line, the parallel line will also have undefined slope.

Now, we have the slope (undefined) and the point (4, 2). We can use the point-slope form of a line to find the equation:

y - y1 = m(x - x1)

Substituting the values:
y - 2 = undefined(x - 4)

Since the slope is undefined, we don't have a specific value for m. However, we know that a vertical line passing through x = -3 will also pass through x = 4 (the x-coordinate of the given point).

So, we rewrite the equation as:

y - 2 = undefined(x - 4) is equivalent to y - 2 = undefined(0)

Simplifying further:
y - 2 = 0

Now, isolate y to get it in the slope-intercept form:
y = 0 + 2

This simplifies to:
y = 2

Therefore, the equation of the line that passes through the given point (4, 2) and is parallel to x = -3 is:

y = 2

So, the correct answer is (A) y = 2.