Question

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: equation

Point-slope form: y – y1 = m(x – x1)

Slope-intercept form: y = mx + b

Choose the equation of the line

Answer 1

y = -3x - 5.

Explanation:

y – y1 = m(x – x1)

The slope m = rise /run = (4 - -5) / (-3 - 0)

= 9/-3

= -3.

Using the point (0, -5) and m =-3 in the point-slope:

y - -5 = -3(x - 0)

y + 5 = -3x

y = -3x - 5 is the required slope-intercept form.

Answer 2

The point slope form of this line is y+5=m(x). Now, you need to find m (the slope) of the line using the formula (y1-y2)/(x1-x2):

(-5-4)/(0--3)

-9/3

-3

The complete point slope formula is: y+5=-3x.

Now, to fin the slope intercept form, just solve for y:

y+5=-3x

*Subtract 5 from both sides*

y=-3x-5

Hope this helps!!