Question

The equation of a line is 4y+5x=16 a) What is the x-intercept? b) What is the y-intercept? c) Write the equation in slope-intercept form d) What is the slope of the line e) Graph the line at the right.

Answer 1

Explanation:

Rearrange the equation in standard slope-intercept format: y = mx + b, where m is the slope and b is the y-intercept.

4y+5x=16

4y = -5x + 16

y = -(5/4)x + 4

The slope is -(5/4)

The y-intercept is +4

The x-intercept (the value of x when y=0) is:

y = -(5/4)x + 4

0 = -(5/4)x + 4

(5/4)x = 4

x = 4*(4/5)

x = (16/5) or 3 1/5

See the attached graph.