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Topic: Help solving problems with slope-intercept form?**Question:**
Hey, guys. I need some help solving these two problems here. Thanks.
1.
Use the given condition to write an equation for the line in slope-intercept form.
Passing through (-2,6) and prependicular to the line whose equation is y=5/2x+1
2. Find the slope-intercept form of the line with the given slope and y-intercept.

June 16, 2019 / By Belle

A line has a general slope-intercept form of: y = mx + b where m is the slope, and b is the y-intercept. In your given line, the slope, m, is 5/2. So a line perpendicular to this will have a slope of -1/m, or -2/5. So we need to write a new equation where m = -2/5, which crosses the given point x = -2, y = 6: 6 = (-2/5)(-2) + b b = 6 - 4/5 b = 26/5 So the equation is: y = (-2/5)x + 26/5

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Did you like the answer? The slope is the difference of the y's divided by the difference of the x's Difference of the y's: -2 -3 (which is -5) Difference of the x's: 4-0 (which is 4) Slope: -5/4 Point-slope form is easiest. Pick one of your two points and plug it into the equation (y-y1)=m(x-x1). I'll pick (4, -2) y-(-2)=(-5/4)(x-4) Simplify this slightly to: y+2=(-5/4)(x-4) Slope-intercept is similar, but you need to use y=mx+b and plug in one of your two points and the slope, then solve for b: -2=(-5/4)*4+b -2=-5+b 3=b y=(-5/4)x+3 For standard form, probably the easiest thing to do is start with slope-intercept and work from there: y=(-5/4)x+3 First multiply each term by 4 to get rid of the fraction 4y=-5x+12 Add 5x to both sides 5x+4y=12 _/

Point slope form is y-y1=m(x-x1) so you take your points (4,-2) and (0,3) and find the slope which is also m. slope is y2-y1/x2-x1 which would be (3-(-2)) / (0-4) this equals -5/4. Your slope is -5/4 Pick a point. It doesn't matter which one. Its safer to go with the positive point for no errors. Lets pick (0,3) plug this point into the formula above, use 0 as x1 and 3 as y1. This is how it would look. y-3= -5/4(x-0) Slope intercept form is y=mx+b. We already found slope to be -5/4 so go to the previous formula and fix it to look like this formula. y-3= -5/4x+0. add the 3 to both sides to have y by itself. y= -5/4x + 3. this is your answer in slope intercept form. For standard form take the slope intercept form y= -5/4x + 3 and rearrange i to ax + by = c. add 5/4 to both sides to cancel it out so 3 can be alone. this would be 5/4x+y=3. This needs to be fixed to not have a fraction. So divide everything by 4. (4)5/4x+(4)y=(4)3. The fours cancel in the fraction leaving 5x + 4y =12. So point slope form is y-3= -5/4(x-0) Slope intercept form is y= -5/4x+3 Standard form is 5x +4y=12 I hope this helped! :)

element slope sort is: y-y1=m(x-x1) Slope intercept sort is: y=mx+b occasion of the thank you to get element slope into slope intercept: factors:(2,5) slope:a million/2 y-5=a million/2(x-2) use the distributive aspects to multiply a million/2 circumstances (x-2) y-5=a million/2x-a million upload 5 to the two factors of the equation to isolate the "y" variable y=a million/2x+4 To graph slope intercept venture y=a million/2x+4: start up with the element (0,4) because of the fact in slope intercept "b" is the y intercept From (0,4) flow up one area and suitable 2 areas. Repeat thrice, or inspite of the shown fact that many circumstances your instructor says to.

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factor slope form is: y-y1=m(x-x1) Slope intercept form is: y=mx+b occasion of a thank you to get factor slope into slope intercept: factors:(2,5) slope:a million/2 y-5=a million/2(x-2) use the distributive sources to multiply a million/2 circumstances (x-2) y-5=a million/2x-a million upload 5 to the two factors of the equation to isolate the "y" variable y=a million/2x+4 To graph slope intercept difficulty y=a million/2x+4: start up with the factor (0,4) because of the fact in slope intercept "b" is the y intercept From (0,4) flow up one area and authentic 2 areas. Repeat three times, or despite if many circumstances your instructor says to.

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To get to the slope-intercept form, you have to manipulate your equation in the following way. 1) Move the part that has the 'x' to the other side. Remember that by moving something to the other side of the equal sign, it changes its sign. 8x - 2y = 12 -2y = -8x + 12 2) you need to eliminate the factor by which 'y' is multiplied; in this case, it's '-2'. To do so, you divide the whole equation by '-2' -2y = -8x + 12 -2y/-2 = -8x/-2 + 12/-2 y = 4x - 6

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