Question

12x+8y=28 in slope intercept form

Answer 1

Explanation:

y = − 3 /2 x + 7/ 2

Answer 2

Explanation:

The given expression is:

12x + 8y = 28

Problem;

Express in slope-intercept format;

Solution:

The equation of a straight line is given as;

y = mx + c

where y is the y-coordinate

m is the slope

x is the x-coordinate

c is the intercept

To solve this problem simply express the given equation as that of a straight line.

12x + 8y = 28 in the form y = mx + c

12x + 8y = 28

take 12x to the other side;

8y = 28 - 12x

divide by 8 to isolate the y;

`(8y)/(8) = (28)/(8) - (12x)/(8)`

y =
`(7)/(2) - (3x)/(2)`

Re-arranging gives;

y =
`(-3x)/(2) + (7)/(2)`

This is the slope-intercept form.