Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)
⇒ m = (-1 - 3)/(5 - 0) = -4/5
- Step 2: Find the y-intercept
y-intercept is the point where the line intersects the y-axis.
Here, the y-intercept, b = 3
- Step 3: Write the equation of the line in slope-intercept form
y = mx + b ⇒ y = -4/5 x + 3
- Step 4: Find the x-intercept using the equation.
x-intercept is the point where the line intersects the x-axis. Then y = 0
⇒ 0 = -4/5 × x + 3
⇒ -4/5 × x = -3
⇒4x = 15
∴ x = 15/4
Answer:
x=63
z=72, y=45
Step-by-step explanation:
Angles "z+y" and "x" add up to 180°, so they are supplementary angles.
angle B=72+b+63=180⇒b=180-135=45
angle B=72+45=117
angle A+angle B=180
x+117=180
x=180-117=63
angle D+angle A=180
z=72, y=45 alternate angles (opposite angle of parallelogram are congruent)
x+z=117 = angle B
Answer:
4/6 and 5/8
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
2/12 can be reduced to 1/6
Hope this helps!
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~Courtney
Answer:
3g^2 - 2g + 12
Step-by-step explanation:
3g^2 - 7g + 5g + 12
-7g + 5g = -2g