Answer:
[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]
Step-by-step explanation:
Given two points, we can find the equation of the line between them with the following:
[tex]y = mx + b\\m = \frac{y_2-y_1}{x_2-x_1}[/tex]
First, we can calculate m, or slope
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5-0}{1-(-4)} = \frac{5}{5} = 1[/tex]
Next we can use the top equation and solve for b, the y-intercept
[tex]y = mx + b\\y = x + b\\5 = (1) + b\\b = 4\\\\y = x + 4[/tex]
[tex]Slope: 1\\y-Intercept: 4\\Equation: y = x + 4[/tex]
