The equation of the graphed line in point-slope form is? , and it’s equation in slope-intercept form is?

ANSWER

Point-slope form:

Slope-intercept form:

EXPLANATION

The graphed line passes through

The slope of this line is determined using

We substitute the points to get;

The point-slope formula is:

Substitute the first point and slope to get:

To find the slope-intercept form, we expand to get:

Slope

point-slope form

slope-intersection form

Step-by-step explanation:

The equation of a line in the point-slope form has the following formula:

Where m is the slope and is a point belonging to the line.

The equation of a line in the slope-intersection form has the following formula:

Where b is the intersection of the line with the y axis.

To calculate the slope of the line knowing 2 points we use the following formula:

In this case:

So

So the equation of a line in the point-slope form

The equation of a line in the slope-intersection form is:

with

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