Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
Answer:
Step-by-step explanation:
A rectangle is shown with length x plus 10 and width 2 x plus 5.
so the rectangle area = length * width
= (x + 10) * (2x + 5)
an unshaded square with length x plus 1 and width x plus 1
so the unshaded square area = (x + 1) * (x + 1)
the shaded area = rectangle area - square area
= (x + 10) * (2x + 5) - (x + 1) * (x + 1)
= (2x^2 + 20x + 5x + 50) - (x^2 + x + x + 1)
= x^2 + 23x + 49
x=12
x/16-1-4=1/2
multiply by both sides
x-4=8
move constant to the right side of and change its sign
x=8+4
add the numbers
x=12
Answer:
slope = 0
Step-by-step explanation:
A horizontal line parallel to the x- axis has a slope of zero.
Since the x- axis has a slope of zero, any line parallel to it will also have a slope of zero.
