Answer:
[tex]\begin{gathered} a_)\text{ -3} \\ b)\text{ -4} \\ c)\text{ -3x-4} \end{gathered}[/tex]
Explanation:
a) We want to get the slope of the line
To get this, we use two points on the line and apply the slope formula
We have the two points as:
[tex](0,-4)\text{ and \lparen-2,2\rparen}[/tex]
The slope of the line can be calculated using the formula:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{2-(-4)}{-2-0}\text{ = }\frac{6}{-2}\text{ = -3}[/tex]
b) The y-intercept is the point at which the line crosses the y-axis
We have the point as (0,-4)
c) The equation of the line is thus:
[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = -3 and b = -4} \\ y\text{ = -3x-4} \end{gathered}[/tex]
