Question

Look at the graph shown Which equation best represents the line?

Answer 1

$y=\frac{11}{4}x +4$ is the equation best represents the line.

Solution:

Take any two points on the line.

Let the points be (0, –4) and (4, 7).

$x_1=0,y_1=-4,x_2=4, y_2=7$

General form of equation of a line is y = mx + c

where m is the slope and c is the y-intercept of the line.

y-intercept is the point which line crosses at y-axis.

In the given line, y-intercept is 4.

c = 4

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{7-(-4)}{4-0}$

$m=\frac{11}{4}$

Equation of the line:

y = mx + c

$y=\frac{11}{4}x +4$

Hence $y=\frac{11}{4}x +4$ is the equation best represents the line.