Skill Check 7 – Standard and Point-Slope Form Name: ____________________________
Slope Slope-Intercept Form Standard Form Point-Slope Form
𝑚= 𝑦2−𝑦1
𝑥2−𝑥1𝑦=𝑚𝑥+𝑏 𝐴𝑥+𝐵𝑦=𝐶 𝑦−𝑦1=𝑚(𝑥−𝑥1)
Find the x- and y-intercepts of the line. Then graph the line.
1. 3x -4y =12 2. -x - y = -5 3. 9x +2y =-6
x-int: x-int: x-int:
y-int: y-int: y-int:
Writethe following equations into slope-intercept form.
4. 3x -4y =-20 5. -5x +10y =90 6. -9x -3y =-15
Use point-slope form to writethe equation of the line through the given pointwith the given slope in
slope-intercept form.
7. (6, 7) m = ⅓8. (-2, -1) m = -2
9. Which equations belowhave a y-interceptof 8? SELECT ALL THAT APPLY.
3x -5y = 8 y - 3 = 5(x +1) y = 8x -16 2x -4y =-32 y = -1/2x + 8 y + 4 = 2(x +4)
Challenge:
Marge has two equations of the same line, but both are missing apiece. The first equation is Δx + 3y =18, and
the second equation is y - 8 = ⍰(x -3). Whatis the missing number,Δ,in the first equation?
key
312 xint 4ti
g
my pyint 3yes yint 524 6pint 33
n
r
Lc
x3x
IF 344 590
ggg
5
31915
yet
9tax
43
0
xy
yymxxyymix xD
y41 21 61
y713 XG8124
y73242
50
43
50
gg y4jsxtf IF 4
a8T qjCYIaxt.es
y24
31 24 18
Axtyl
30 38 18
31 6