Question

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation. Passing through ​(negative 4−4​,00​) and ​(00​,44​)

Answer 1

`y-4=1(x-0)`

`y=1x+4`

Explanation:

Passing through ​( −4​,0​) and ​(0​,4​)

Find slope using the two points using slope formula

`slope =(y_2-y_1)/(x_2-x_1) =(4-0)/(0+4) =1`

Slope =1 and use point (0,4)

Point slope formula is

`y-y_1=m(x-x_1)`

Plug in the values in the formula

`y-4=1(x-0)`

Now we solve for y to get slope intercept form y=mx+b

`y-4=1(x-0)\\y-4=1x\\y=1x+4`