Answer:
To graph a line with a given slope, we can use the point-slope form of a linear equation, which is given by the formula y - y1 = m(x - x1). In this formula, (x1, y1) is the given point and m is the slope of the line.
Substituting the given values into the point-slope formula, we have:
y - (-3) = (2/3)(x - (-4))
Solving for y, we have:
y = (2/3)x + (5/3)
This is the equation of the line in slope-intercept form. To graph the line, we can plot the given point (-4, -3) and then use the slope (2/3) to find additional points on the line. For example, if we let x = -3, we have:
y = (2/3)(-3) + (5/3) = -2 + 5/3 = 1/3
So, another point on the line is (-3, 1/3). We can repeat this process to find additional points on the line.
The graph of the line would then be a set of points that includes (-4, -3) and (-3, 1/3), as well as all other points that can be found using the point-slope formula.
