Rewrite into standard form (0,5), m=-3/5.
Write the equation of the line passing through each of the given pairs of points. Write the answer in slope-intercept form, where possible. (2,-3) and (2,4)
I have done several of these already. Please observe the method I have used and make an attempt yourself. We will be glad to critique your work.
You have asked two questions here.
In the first case, the equation you are after will have the form
y = -(3/5)x + b
Use the fact that y = 5 when x = 0 to get b.
To rewrite the equation into standard form, we need to convert it from point-slope form (y - y1 = m(x - x1)) to standard form (Ax + By = C).
First, we have the point (0, 5) and the slope (m = -3/5). Let's use the point-slope form to find the equation:
y - y1 = m(x - x1)
y - 5 = -3/5(x - 0)
y - 5 = -3/5x
Now, let's simplify this equation further:
y = -3/5x + 5
To write the equation of the line passing through the points (2, -3) and (2, 4), we need to determine its slope. Since the x-values of both points are the same, the line is vertical, and its slope is undefined (denoted by m = ∞).
However, we can still write the equation in slope-intercept form (y = mx + b) in this case:
Since the line is vertical and passes through the point (2, -3), the equation is simply x = 2.
Therefore, the equation of the line passing through the points (2, -3) and (2, 4) is x = 2.