Write the equation of the line passing through each of the given points with the indicated?

Question

Write the equation of the line passing through each of the given points with the indicated
slope. Give your results in slope-intercept form, where possible.
(0,5) m= -3/5

Answer 1

y = mx + b is slope-intercept form

m = slope = (-3/5)
(x,y) = (0,5)

5 = (-3/5)(0) + b
5 = 0 + b
5 = b

So your line equation is y = (-3/5)x + 5

Answer 2

SLOPE-INTERCEPT form means you want the equation to look like this: y=mx+b.

"m" is your SLOPE, and that's been given to you, so that's easy.
So far then we have: y = -3/5x+b

"b" is the y-INTERCEPT, which is the point where the line crosses the y axis. When that happens, your x value is 0. You're given that info too: (0,5) is a point on your line, so your y-intercept is 5.

Therefore, the equation you are looking for is:

y = -3/5x + 5


Putting in other values for x, or y, will give you more coordinates on your line. If y = 0, then

0 = -3/5x + 5
3/5x = 5
x = 5 (5/3) = 25/3

25/3 is also your x-intercept.

And, so (0,5) and (25/3, 0) are both points on this same line.

Answer 3

You're given the y-intercept and the slope, so simply plug the values into y = mx+b to get y = (-3/5)x + 5

Answer 4

since the point (0,5) gives the y-intercept as 5 you can just plug the slope and y-intercept into the slope-intercept formula:

y=mx+b
y=(-3/5)x+5

Answer 5

If you arrange your formula in y = mx + b form, you can plug in (0,5) for x and y respectively, and m for m.

5 = (-3/5)(0) + b

This gives us b = 5.

We now have the formula y = (-3/5)x +5

Answer 6

A.) Y=-3/5X+5 B.)Y=-7X+18

Answer 7

y=mx+b
(0,5), (x,y) just plug in these number in the equation to find b....
5=-3/5(0)+b
5=0+b
b=5
y=-3/5x+5

Answer 8

The y-int is 5

y = -3/5x + 5