Answer
y = (4x/3) - 1
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
For the slope of a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]
For this question,
(x₁, y₁) and (x₂, y₂) are (0, -1) and (3, 3)
[tex]\text{Slope = }\frac{3-(-1)}{3-0}=\frac{3+1}{3}=\frac{4}{3}[/tex]
While the y-intercept is the point where the line crosses the y-axis.
b = y-intercept = -1
Recall
y = mx + b
m = (4/3)
b = -1
y = (4x/3) - 1
Hope this Helps!!!
