A y = 1/2x + 5 B y = 1/2x + 7 c y = 2x + 5 D y = y = 2x + 7

Step-by-step explanation:

y = mx + b (slope-intercept form of a line)

m is slope

b is y-intercept

The y-intercept of the line is (0, 5) or 5.

y = mx + 5

The slope of the line can be found through rise over run.

(1, 7) and (2, 9) are two points on the line.

m = (y2-y1)/(x2-x1)

m = (9 - 7)/(2 - 1)

m = 2/1 = 2

The slope of the line is 2.

y = 2x + 5

Hi! The equation for this line would be c), y = 2x + 5.

Step-by-step explanation:

Slope - intercept form: y = mx + b, where m is the slope and b is the y - intercept.

First, we should determine the y - intercept. We can observe using the graph that the line intercepts the y - axis at point (0, 5), so we take the y - coordinate (5) and insert it into our equation.

y = mx + 5

This automatically rules out options d) and b).

Next, we find the slope. The formula for finding the slope is (y2 - y1) ÷ (x2 - x1).

We need to choose two coordinates before we can calculate the slope.

Let's use (1, 7) and (0,5).

We will not insert the values into or slope formula:

(7 - 5) ÷ (1 - 0)

When we solve this, the quotient is 2.

This is our slope, and we can insert the value into our slope equation - -

y = 2x + 5

This rules out option a). So, your answer is option c), y = 2x + 5.

Hope this helps!