Question

What is the equation of the following line written in slope-intercept form?

Answer 1

y=(3/2)x + 4.5 is the answer... I may be able to answer better if there are answer choices so if you do please provide them and I’ll give you a more accurate answer.

Answer 2

`y=-(3)/(2)x - 9/2`

Explanation:

The slope - intercept equation is

`y = mx + b`

where m = slope

and b = intercept

The line intercepts the y axis in -9/2, so b = -9/2

To calculate the slope we can take two points where the line passes:

p1= (-3, 0)

p2=(-1, -3)

the slope will be a fraction with the numerator being the difference in the y coordinates and the denominator the difference in the x coordinates

`m=(-3-0)/(-1-(-3))=(-3)/(2)`

replacing the values for m and b in the slope - intercept equation:

`y=-(3)/(2)x - 9/2`