Answer:
y - 4 = 3(x- (-1) ---> y-4 = 3(x+1)
Step-by-step explanation:
y - 4 = 3(x + 1)
y - 4 = 3x + 3
y = 3x + 7
then plug in (-1,4)
4 = 3(-1) + 7
4 = -3 + 7
4 = 4
Point slope form looks like:
y - y₁ = m(x - x₁)
Write the equation of a line that is parallel to y=-5/4x + 7
Any line parallel to the given line will have the same slope. In an equation presented in the y-intercept form, the slope is always the coefficient of "x". In this case, the slope is -5/4 (meaning the next point is down 5, and 4 to the right).
Our equation so far looks like this: y = -5/4x + b
"b" represents the y-intercept. To solve for be, we will need to substitute values into x and y. The next piece of information it gives us is one of the points, or solutions, of the line. This means that since this point is on the line, we can use its x and y values to substitute.
x = -4
y= 1
y = -5/4x + b
1 = -5/4(-4) + b
1 = 5 + b
-4 = b
Final Answer: y = -(5/4)x -4
Answer:
Domain → (-∞, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Domain of a function is defined by the x-values or input values of the graph.
Similarly, Range of the function is defined by the y-values or output values from the graph.
From the picture attached,
x - values for the line shown in the graph vary from negative infinity to positive infinity.
Therefore, Domain of the function will be → (-∞, ∞)
And for every x-value there is a y-value, so Range of the function will be same as domain (varying from negative infinity to positive infinity) → (-∞, ∞)
Answer:
1 : 30
Step-by-step explanation:
300mm:9m
We need to change the meters to mm
1 meter is 1000 mm
so 9 m is 9000 mm
300mm:9000mm
Divide both sides by 300
300mm/300 : 9000/300
1 : 30
