Question

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

y = 2 /3 x + 9 /2
y = 3 /2 x - 9 / 2
y = - 3 /2 x - 3 / 2

Answer 1

y = -3/2x - 9/2

Explanation:

The general form of a line in slope-intecept form is given by:

y = mx + c

where: m = slope, c = intercept.

from the graph, slope is calculated as:

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

m = -3/2

To obtain c, choose any value of x, and corresponding y value.

we choose: (-3, 0)

using y = mx + c

0 = -3/2(-3) + c

simplify

c = -9/2

Therefore, y = -3/2x - 9/2