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

Answer:

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

$y=1x+4$

Step-by-step explanation:

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

Find slope using the two points using slope formula

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{0+4} =1$

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

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