Question

7x+8y= 8

Slope

Y intercept

Answer 1

Slope = -7/8

Y-intercept = (0, 1)

Explanation:

Answer 2

`slope = - (7)/(8)`

y- intercept= 1

Explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

`y = - (7)/(8) x + 1`

Thus, the slope is
`- (7)/(8)` and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably