Mathematics: Aline intersects the point (-8,-1)and has a slope of 1/4.what is the slope-intercept equation for this line?

Aline intersects the point (-8,-1)and has a slope

dondre54

11.03.2022

ANSWER

$y = \frac{1}{4}x+1$

EXPLANATION

The slope-intercept equation of a straight line is of the form

y = mx + b

Where 'm' is the slope and 'b' is the y-intercept.

From the question we have slope to be

$m = \frac{1}{4}$

We substitute the slope into the slope-intercept equation and obtain:

$y = \frac{1}{4}x + b$

To find the value of 'b' we plug in the point (-8,-1) into our current equation.

$- 1= \frac{1}{4}( - 8)+ b$

- 1= - 2+ b

- 1 + 2 = b

1 = b

b =1

The complete equation is

$y = \frac{1}{4}x + 1$

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kayla4352

06.04.2022

3x2+5x−6−x2+3x+9

=3x2+5x+−6+−x2+3x+9

Combine Like Terms:

=3x2+5x+−6+−x2+3x+9

=(3x2+−x2)+(5x+3x)+(−6+9)

=2x2+8x+3

Answer is: =2x2+8x+3

Step-by-step explanation:

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