Write an equation for the line?

y = 2x + 3

Step-by-step explanation:

Given:

(2, 7) and (0, 3)

Find the slope between the two points:

(x1, y1) = (0, 3)

(x2, y2) = (2, 7)

(y2 - y1)/(x2 - x1)

(7 - 3)/(2 - 0)

4/2 = 2

m = 2

y = mx + a

y = 2x + a

Use one of the two points to find a (I will use point (2, 7):

7 = 2(2) + a

7 = 4 + a

a = 3

Slope-intercept Form: y = 2x + 3

Point-slope Form: y - 3 = 2x

Point-slope Form: y - 7 = 2(x - 2)

General equation: 2x - y + 3 = 0

Graph the inequality by finding the boundary line, then shading the appropriate area.

y

≤

3

x

−

2

Step-by-step explanation: