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Using the image below. Write the equation of the line fully simplified slope-intercept form. NO SPACES BETWEEN TERMS *

Using The Image Below Write The Equation Of The Line Fully Simplified Slopeintercept Form NO SPACES BETWEEN TERMS class=

Sagot :

Answer:

y = -6x + 3

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

Because the x value is increasing while the y value is decreasing, the slope is negative.

To find the slope, first find 2 points on the line:

(-1 , 8) and (0, 2)

Since the y value decreases by 6 in the same amount that the x value increases by 1, the slope is -6.

To find the value of b, locate the point at which the line intersects the y-axis:

(0 , 3)

The y-intercept is the value of y when x = 0. Because the y-intercept is 3, b = 3.

So, to put this into slope-intercept form, plug in the values:

y = mx + b

y = -6x + 2

The equation of the line in slope-intercept form is y = -6x + 2.