Question

The points (14, –3) and (–10, –3) fall on a particular line. What is its equation in slope-intercept form?

Answer 1

Answer is y= -3
There is no slope

Step by step

Find slope with y2 - y1 over x2 - x1

-3 - -3 over -10 - 14

0/-24 = 0 slope, so it’s a horizontal line at
Y = -3

Slope intercept form

Y-y1 = m (x-x1)
Y - -3 = 0 (x - -10)
Y + 3 = 0 (x + 10)
Y = -3
There is no slope

See attachment

Answer 2

y = -3

Explanation:

Slope intercept form is y = mx + c.

"m" is the slope and "c" is the y-interecept.

The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.

This means y = 0x + c

You can substitute 14 for y and -3 for x from the first point to get:

-3 = 0(14) + c

-3 = c

y = 0x + -3

Which is the equation of the line in slope-intercept form.

This is the same as saying y = -3, as for every x value, y will always be -3.