Answer:
To find the equation of the line that contains the points (3,0) and (4,6), you can use the slope-intercept form of a line, which is given by the equation:
y = mx + b
Where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
To find the slope of the line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the points (3,0) and (4,6), you get:
m = (6 - 0) / (4 - 3) = 6/1 = 6
So the slope of the line is 6.
To find the y-intercept, you can plug the slope and one of the points into the slope-intercept form of the equation and solve for b:
0 = 6*3 + b
b = -18
So the y-intercept is -18.
Therefore, the equation of the line that contains the points (3,0) and (4,6) is:
y = 6x - 18
This equation is in slope-intercept form and can be used to plot the line on a graph or to find the y-value for a given x-value.