Question

Writean equationin slope-intercept form for the line with slope 4 and y-intercept -6

Answer 1

Explanation:

The given equation is in the form of a linear equation: 4x - 5y = 15.

To determine the slope-intercept form (y = mx + b) of the line represented by this equation, where "m" is the slope and "b" is the y-intercept, we need to isolate "y" on one side of the equation.

Starting with the equation:

4x - 5y = 15

Subtract 4x from both sides:

-5y = -4x + 15

Divide both sides by -5:

y = (4/5)x - 3

Now we have the equation in slope-intercept form: y = (4/5)x - 3.

So, the slope (m) is 4/5, and the y-intercept (b) is -3.

Answer 2

y = 4x - 6

Explanation:

Hi! Our task is to write the line's equation in slope intercept form, given that:

• its slope is 4
• its y-intercept is -6

Slope Intercept is:

`\large\boxed{\bf{y=mx+b}}`

where:

m = slope

b = y-intercept

So, to find our equation, we simply substitute 4 for m and -6 for b:

`\rightarrow\large\boxed{\bf{y=4x-6}}`