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

Answer:

$y=-\frac{3}{2}x - 9/2$

Step-by-step 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

$m=\frac{-3-0}{-1-(-3)}=\frac{-3}{2}$

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

$y=-\frac{3}{2}x - 9/2$