Question

Based on figure 1. Describe the graph of a linear equation in terms of its intercept and slope Write your answer on the space provided.

Answer 1

Answer:

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Answer 2

Answer:

Equation in slope-intercept form is $y=-mx+b$

Tip:

• There are several forms that the equation of a line can take.

• They may look different, but they all describe the same line--a line can be described by many equations.
• All (linear) equations describing a particular line, however, are equivalent.

Step

Step 1 of 2:

Equations in slope-intercept form look like this:

$y=mx+b$    

where $m$ is the slope of the line and $b$ is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of $m$ in the equation. Next, find the coordinates of the y-intercept that should be of the form $(0,b)$. The y- coordinate is the value of $b$ in the equation.

Step 2 of 2:

So, we have equation from the given graph as:

We know that here the slope is negative so, $m =-m$

Our equation is

$y=-mx+b$