Question

Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2

Answer 1

9514 1404 393

Answer:

a. m = 2; y intercept = (0, 4); y = 2 x + 4

Explanation:

The slope can be found using the formula ...

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

m = (18 -4)/(7 -0) = 14/7

m = 2

The y-intercept is the first given point: (0, 4).

The equation for the line in slope-intercept form is

y = mx + b

Here, we have m=2 and b=4, so the equation is ...

y = 2x +4