Answer :

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).

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