What is an equation of the line that passes through the points (0, 3) and (5, -3)?

Answer (assuming it can be in slope-intercept form):

Step-by-step explanation:

1) First, use the slope formula to find the slope of the line. Substitute the x and y values of the given points into the formula and solve:

So, the slope is .  

2) Now, use the slope-intercept formula to write the equation of the line in slope-intercept form. All you need to do is substitute real values for the and in the formula.

Since represents the slope, substitute for it. Since represents the y-intercept, substitute 3 for it. (Remember, the y-intercept is the point at which the line hits the y-axis. All points on the y-axis have an x-value of 0. Notice how the given point (0,3) has an x-value, too, so it must be the line's y-intercept.) This gives the following equation and