[tex]y = x + 4[/tex]
Step-by-step explanation:
Let [tex]P_1(-1, 3)[/tex] and [tex]P_2(0, 4)[/tex] and solve for the slope using the equation
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 3}{0 - (-1)} = 1[/tex]
Therefore, the general slope-intercept form of the equation of the line is
[tex]y = x + b[/tex]
where b is a constant. To solve for it, let's use one of the points. I'll use P2:
[tex]4 = (0) + b \Rightarrow b = 4[/tex]
Therefore, the slope-intercept form of the equation of the line is
[tex]y = x + 4[/tex]
