Question

Write the equation of the line in fully simplified slope-intercept form

Answer 1

y = 5/2x - 6

In-depth explanation:

Hi! The question is asking us to write the equation of the line in fully simplified slope-intercept form.

Let's start with taking two points on the line: (2,-1) and (0,-6).

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SLOPE FORMULA

`\bf{m=(y_2-y_1)/(x_2-x_1)}`

Plug in the data:

`\bf{m=(-6-(-1))/(0-2)=(-6+1)/(-2)=(-5)/(-2)=(5)/(2)}`

So, the line's slope is:

• 5/2

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Y-INTERCEPT

This is the point where the line crosses the y-axis. In this case, it's (0,-6), and the value of b is always the y-coordinate, i.e., -6.

∴ Equation: y = 5/2x - 6