Which of the following is an equation of the line that passes through the point (950, 1,250) and has a slope of –10?

Question

carmelle · Answer

The slope-intercept form is: y = mx + b

Where...

y is the y-coordinate
m is the slope
x is the x-coordinate
b is the y-intercept

We already know the following...

y is 1,250
m is -10
x is 950

Remember, b is not given!!

Now, we plug in the values you already know and solve for b.

$$ y = mx + b$$
$$ 1250 = -10(950) + b$$
$$1250=-9500 + b$$
$$10750=b$$

Now we can plug in the slope and the y-intercept and we are left with the final answer of:
$$y=-10x+10750$$