Find the slope and y-intercept from the following graph of a linear equation

Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
m-slope
b-y-intercept
slope is 4/1 rise 4 ,run 1
m=4/1=4
y-intercept is 3
Answer:
Slope = 4
y-intercept = 3
Step-by-step explanation:
1. Find the slope
The slope of the line is the change in the line, it is also known as the [tex]\frac{rise}{run}[/tex]. It can be found by using the formula; [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. On the graph, one can see that points ( -1, -1 ) and ( -2, -5 ). Substitute these into the formula and solve for the slope;
[tex]=\frac{y_2 - y_1}{x_2 - x_1}\\\\=\frac{(-5) - (-1)}{(-2) - (-1)}\\\\=\frac{-5 + 1}{-2 + 1}\\\\=\frac{-4}{-1}\\\\= 4[/tex]
The slope of the given line is 4
2. Find the y-intercept
The y-intercept is where the graph of the line intersects the y-axis. In this case, this point is visible, the point at which the graph intersects the y-axis is (0, 3). The y-intercept is the y-coordinate of this point, in other words (3).