Question

Slope intercept form? A line passes through the point (10,4) and has a slope of -1 over 2 .

Answer 1

Hi There!

You have to find the second point.

4 - ? = -1

10 - ? = 2

4 - 5 = -1

10 - 8 = 2

Second Coordinate: (8, 5)

Y intercept is 13

Slope Intercept Form: y = -1/2x + 13

Hope This Helps :)

Answer 2

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=-\dfrac{1}{2}$ and the point (10, 4).

Substitute the value of slope and the coordinates to the equation of line:

$y=-\dfrac{1}{2}x+b\\\\4=-\dfrac{1}{2}(10)+b\\\\4=-5+b\qquad|\text{add 5 to both sides}\\\\9=b\to b=9$

Answer: $y=-\dfrac{1}{2}x+9$