How do I find this slope intercept form?

Question

A vertical line passes through (-4,-2)

Because it is vertical it has no slope.

But what would the answer be?

Also for another problem I was given:

Slope = 0.25

X-Intercept = 24

How do I find this one out? I got stuck

I thought maybe you would use y-y1=m(x-x1)

But that didn't work. I don't think...

Answer 1

the first question does not pass through the y axis

the x-intercept is -2

second problem: y=mx+c

at x intercept, y=0

0.25x +c = 0

0.25*24 +c = 0

6+c = 0

c = -6

so the y intercept is y=-6

Answer 2

No y = -2 is a horizontal line.

A vertical line would be x = -4

Hint for your second question. Which I'll let you try yourself first. If you need it in point slope form. The x intercept is at a point (24,0) and you have a slope of 0.25

so now plug in to (y-y1) = m (x-x1)

Plug in values y-0 = 0.25(x-24)

y = 0.25x - 6

So yes, I would agree with

y = (1/4) x - 6 as slope intercept form. Good Job! ☺

Answer 3

sinceit has no slope, then the slope is zero. therefore m = 0, so the equation is y - (-2) = 0 or simply y = -2.

#2

slope (m) = 0.25, x-intercept = 24 means (24,0)

y - 0 = 0.25(x - 24)

y = 0.25x - 6