Answer:
Slope = 2
Y-Intercept = 4
Equation of Line is y=2x+4
Step-by-step explanation:
y-intercept is the point in the y-axis, where the line cuts it. So, looking at the graph, the y-intercept would be y = 4
To figure out the slope, we take any two points and calculate using the formula:
[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where, m is the slope
[tex](x_1,y_1)[/tex] is the first coordinate, and
[tex](x_2,y_2)[/tex] is the second coordinate
Let's take two points as: (-2,0) & (-1,2)
Plugging these into the formula we get the slope as:
[tex]m=\frac{y_2 - y_1}{x_2 - x_1}\\m=\frac{2-0}{-1--2}=\frac{2}{1}=2[/tex]
Hence slope is 2
Equation of the line is given as y = mx + b, where m is the slope (in our case 2) and b is the y-intercept (in our case 4). Thus:
Equation of Line: [tex]y=2x+4[/tex]
