what is the slope intercept form of the equation y-7=9/4 (x+8)

Question

What is the slope intercept form of the equation y-7=9/4 (x+8) I really do not have any more information on this topic because I just started a new school and the teacher will not help me.

Answer 1

the slope-intercept form of an equation is y=mx+b where m=slope and b=y-intercept

y-7=(9/4)(x+8)

y-7=(9/4)x+(9/4)(8)

y-7=(9/4)x+18

y=(9/4)x+18+7

y=(9/4)x+25 where 9/4 is the slope and 25 is the y-intercept

Answer 2

The slope intercept form for a straight line is:

 

y= mx + b

 

where y is a function of x, and m is the slope and b is the y-intercept.

 

What you need to do is to manipulate your equation into the form. Just move the 7 over to the right hand side, and then multiply out the 9/4(x+8) so you'll have

 

y= 9x/4 + 72/4 + 7= 9x/4 + 25

 

So, m= 9/4 (the slope) and the y-intercpet is 25.

 

You should memorize the y=mx + b and that it is the general equation for a line with x on the horizontal axis, and y on the vertical.

 

 

Answer 3

Slope-intercept form is y = mx + b.

 

y - 7 = 9(x + 8)/4     Clear out the denominator by multiplying both sides by 4.

4y - 28 = 9(x + 8)     Distribute the 9

4y - 28 = 9x + 72      Adding 28 to both sides.

4y = 9x + 100           Dividing both sides by 4

y = (9/4)x + 25