Question

Can someone explain to me how to do this?

What is the equation of the line that passes through the point (4, 1) and has a y-intercept of -5?

Question 9 options:

y = 3/2 x


y = 3/2 x - 5


y = 1/9 x - 5


y = 1/9 x + 5/9

Answer 1

In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction -
`(-5-1)/(0-4)`, which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)=
`(3)/(2)`x-5