The equation x - 3y = -7 is a linear equation in slope-intercept form. To graph this equation, we can start by putting it into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept. To do this, we can add 3y to both sides:
x = 3y - 7
To find the y-intercept, we can set x = 0 and solve for y:
0 = 3y - 7
3y = 7
y = 7/3
So the y-intercept of this line is (0, 7/3). To find the slope, we know that the coefficient of x is 1, so the slope is m = 1.
Now we can use the point-slope form of a linear equation to find three other points on the line:
y - 7/3 = 1(x - 0)
y = x + 7/3
We can find other three points by plugging in any value of x and solve for y:
(1, 4/3), (2,5/3), (3,6/3)
We can now plot these points on a graph and draw the line that passes through them.
The graph of the equation x - 3y = -7 is a line passing through the points (1, 4/3), (2,5/3), (3,6/3) and the y-intercept is (0,7/3)