Question

Write the equation of the line having a slope of 4 and y-intercept (0, -8)

Answer 1

Answer: y = 4x + (-8)

Explanation:

The slope intercept form is:

y = mx + b

Where m = slope and b = y-intercept.

The y-intercept is the y-value of the coordinate (x , y)

We are given that

m = 4

b = -8

Plug these values in the equation above

y = 4x + (-8)

Answer 2

Answer: y = 4x - 8

Explanation:

We need to write an equation for a line that has a y-intercept of (0,-8) and a slope of 4.

Since we know both the slope of the line and a point that the line passes through, we can use the point-slope formula:

`\boldsymbol{y-y_1=m(x-x_1)}`

Substitute the values.

`\boldsymbol{y-(-8)=4(x-0)}\\\\\boldsymbol{y+8=4(x-0)}\\\boldsymbol{y+8=4x-0}\\\boldsymbol{y=4x-0-8}\\\boxed{\boldsymbol{y=4x-8}}`

Therefore, the equation is y = 4x - 8.