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.
(4,2; x= -3
x=4
how?
x = -3 is a vertical line crossing the x-axis at x = -3.
x=4 is a vertical line passing through (4,2)
To write an equation in slope-intercept form of a line parallel to a given equation, we first need to find the slope of the original line.
The given equation is x = -3, which is a vertical line passing through x = -3. The slope of a vertical line is undefined because its change in x is 0. Therefore, a line parallel to x = -3 will also have an undefined slope.
Now, we have the point (4, 2), and since the slope is undefined, we can use the equation in the form x = a to find the equation of the line parallel to x = -3. Here, 'a' will be the x-coordinate of the given point, which is 4.
Thus, the equation in slope-intercept form of the line that passes through the point (4, 2) and is parallel to x = -3 is:
x = 4