Answer:
y = 4/3x - 8/3
Explanation:
Form of y + 4 = 4/3(x + 1):
y + 4 = 4/3(x + 1) is in the point-slope form of a line, whose general equation is given by:
y + y1 = m(x + x1), where:
- (x1, y1) is any point on the line,
- and m is the slope.
General equation of the slope-intercept form:
The general equation of the slope-intercept form is given by:
y = mx + b, where:
- m is the slope,
- and b is the y-intercept.
Converting y + 4 = 4/3(x + 1) to slope-intercept form:
Thus, we can convert y + 4 = 4/3(x + 1) to slope-intercept form by isolating y on the left-hand side:
y + 4 = (4/3 * x) + (4/3 * 1)
(y + 4 = 4/3x + 4/3) - 4
y = 4/3x - 8/3
Therefore, y = 4/3x - 8/3 is the slope-intercept form of y + 4 = 4/3(x + 1).