Write the equation of the line in Slope-Intercept Form given the information below. Slope =4 Point =(1,−1) slope-intercept form

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Answer:

y = 4x + -1/1

-1/1 as a fraction. Down by 1 and right by 1

The equation of line in slope intercept form which is passing through

(1, -1) is  y = 4x -5.

What is the slope of line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

What is the equation of line in slope intercept form?

The equation of line in slope intercept form is given by y = mx + c.

According to the given question.

We have

The solpe of the line, m = 4

Also, the point through which the line is passing, [tex](x_{1} , y_{1}) = (1, -1)[/tex]

Since, we know that the equation of line in slope intercept form of the line is given by

y = mx +c

Since, the above line is passing through (1, -1) and the slope is 4.

Therefore,

-1 = 4(1) + c

⇒ -1 = 4 + c

⇒ -1 -4 = c

⇒ c = -5

Substitute the value of m and c in the equation y = mx + c.

⇒ y = mx + c

⇒ y = 4x -5

Therefore, the equation of line in slope intercept form which is passing through (1, -1) is  y = 4x -5.

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