Question

The x-intercept of the line is -5 and the y-intercept of the line -2. What is the equation of the line?

y = -5/2x - 5
y = 2/5x + 2
y = 5/2x - 2
y = -2/5x - 2

Answer 1

is there a picture

Answer 2

No

Answer 3

in y = mx + b form, the y intercept is in the b position...so if the y intercept is -2, then we know, so far, that the equation will be set up like : y = mx - 2. So that eliminated the first 2 answer choices.

Now...to find the x intercept, sub in 0 for y...
y = 5/2x - 2
0 = 5/2x - 2
-5/2x = -2
x = -2/(-5/2)
x = -2 * -2/5
x = 4/5.....not this one

y = -2/5x - 2
0 = -2/5x - 2
2/5x = -2
x = -2/(2/5)
x = -2 * 5/2
x = - 5 ------so this one has a y intercept of -2 and an x intercept of -5

conclusion : answer is y = -2/5x - 2

any questions ?

Answer 4

What is the slope-intercept form of the equation y - 7 = -5/2 (x + 4)?

y - 2 = -5/2 (x + 2)
y + 7 = -x + 5/2
y = -4/7 + 2
y = -5/2 x - 3

Answer 5

@texaschic101