Question

Write the slope-intercept form through: (0,4) and (-4,1) Write the slope-intercept form

Answer 1

Answer:
`y = (3)/(4)x+4`

Step-by-step explanation

Let's find the slope.

`(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (-4,1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (1 - 4)/(-4 - 0)\\\\m = (-3)/(-4)\\\\m = (3)/(4)\\\\`

The slope is 3/4. It means "go up 3, go right 4".

The y-intercept is b = 4 due to the point (0,4). The y-intercept always occurs when x = 0.

We go from the template
`y = mx+b` to the final answer
`y = (3)/(4)x+4`