Question

1. Write an equation of the line with a slope of -2 and a y-intercept of 6 in slope-intercept form.​

Answer 1

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope, b is the y-intercept (when x=0).

1.

is already defined

y = -2x + 6

2.

the slope is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

(-3, -5) and (2, 5).

x changes by +5 units (from -3 to 2), y changes by +10 units (from -5 to +5).

so, the slope is 10/5 = 2

that gives us the first part of the equation :

y = 2x + b

we get b by using the coordinates of one of the points as x and y. e.g. (2, 5)

5 = 2×2 + b = 4 + b

1 = b

so, the full line equation is

y = 2x + 1