Straight line graphs: find the equation of the lines shown

1. y = -2n + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

1.

The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.

Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.

Let's choose any two points on the line: (4, 1) and (3, 3). Then:

slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2

Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.

The equation is thus y = -2n + 9.

2.

Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:

slope = m = (2 - 1) / (3 - 1) = 1/2

We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.

The equation is thus y = (1/2)x + 1/2.

~ an aesthetics lover

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step-by-step explanation: