a line intersects the points (-11, 4) and has a slope of -2. what is the slope-intercept equation for this line

Answer 1

Remember y = mx + b

You know one of the points coordinates (x,y) and the slope so you are solving for b in this equation.

Plugging the known values,

4 = (-2)(-11) + b

5 = 22 + b

-17 = b

b = -17

Writing in slope-intercept form using the format y = mx + b plugging in values for the slope and newly found y-intercept

y = -2x + (-17)

or

y = -2x -17