Question

Writing an Equation Given Two Points Using Point-Slope Form
Use point-slope form to write the equation of the line in slope-intercept form that passes through the points (0, -5) and (-3, 4).

Slope formula: m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction

Point-slope form: y – y1 = m(x – x1)

Slope-intercept form: y = mx + b

Choose the equation of the line.
y = –3x – 13
y = –3x – 5
y = –3x + 5
y = Negative one-third x + 13

Answer 1

First find the slope:
m = (4 - (-5)) / (-3 - 0) = 9 / -3 = -3.

Use point-slope with (0, -5):
y - (-5) = -3(x - 0) → y + 5 = -3x → y = -3x - 5.

So the correct equation is y = –3x – 5.