Question

A line passes through the point (4, -8) and has a slope of 5/2

Write an equation in slope-intercept form for this line.

help me pls this is due in 30 minutes

Answer 1

y=5/2x+24

Explanation:

use the formula y-y1=m(x-x1)

5/2 symbolizes m

put in 4 for y1 and put in -8 for x1

y-(4)=(5/2)(x-(-8)

y-4=5/2(x+8)

y-4=5/2x+20

y=5/2x+24

Answer 2

y = 5/2x -18

Explanation:

You want the slope-intercept equation for the line with slope 5/2 through point (4, -8).

Point-slope form

It can work well to start with the point-slope equation and rearrange it to the desired form.

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

y -(-8) = 5/2(x -4) . . . . . line with slope 5/2 through point (4, -8)

Slope-intercept form

Add -8 and eliminate parentheses

y = 5/2x -10 -8

y = 5/2x -18 . . . . . . . . simplify

The desired equation is y = 5/2x -18.

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