What is the slope-intercept form of the equation y space minus space 7 space equals space minus 5 over 2 open parentheses x space plus space 4 close parentheses?

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What is the slope-intercept form of the equation y space minus space 7 space equals space minus 5 over 2 open parentheses x space plus space 4 close parentheses?

Geometry
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y - 7 = -5/2(x + 4) you need to rearrange this to the form y = mx + b
thats what i dont understand
first add 7 to both sides then distribute the -5/2 over the parentheses finally simplify the right side

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ok hold on let me d that then see if im correct
is it y=-5/2x - 3?
right!
omg thank you!!!!
yw
-5/2 is the slope of the line and -3 is the intercept on the y-axis
though it is better to write it as y = (-5/2) x - 3 as it could be interpreted as -5 ------ 2x - 3
okay thanks! can you help me with another question?
ok 1 more
Which is the equation for the line perpendicular to y space equals space minus 5 over 3 x space plus 11 1 third and containing P(-2, 3)?
y = (-5/3) x + 11 1/3 the slope of this line is -5/3 so the slope of the line perpendicular to it = -1 / (-5/3) = 3/5
so what do i do now?
i'm a bit confused here - the line which is perpendicular contains the point P (-2,3) - right?
yes
ok so we need to use the general form of the point-slope equation y - y1 = m(x - x1) where m = slope (3/5) and (x1,y1) = (-2,3) plus these values into the above formula
(if the slope of a line is m then the slope of a line perpendicular to it is -1/m)
is it 3/5x + 4 1/5 ??
y = (3/5) x + 4 1/5 Yes
omg yay thanks so much!
yw

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