Answer:
b. slope: -5; y-intercept: 7
Step-by-step explanation:
We are given the equation:
y + 5x = 7
To find the slope and y-intercept of the line, it would be helpful to get the equation into slope-intercept form. The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
Lets get the given equation into slope-intercept form.
y + 5x = 7
Subtract 5x from both sides.
y = -5x + 7
Now we have the equation in slope-intercept form. By looking at the equation, we can see that the slope is -5 and that the y-intercept is 7.
The correct answer choice would be b.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
Below!
Explanation:
A system of equations with infinite solutions defines that both the equations are identical and are overlapping when the lines are graphed. An example could be y = 5x + 9 and y = 5x + 9. These sets of equations have infinite solutions because they are the same and when graphed, they overlap.
Hoped this helped!
Answer: a) y=-29x-20 b) y=3/5x-18
Step-by-step explanation:
a) m = (-49-38)/(1 - (-2)) = -87/3 = -29
y=-29x+b --> Substitute (1,-49) as a point
(-49)=-29(1)+b
-49=-29+b
-b=-29+49
b=-20
Therefore, the equation of the line is y=-29x-20
b) m = (-18-(-9)/(0-15)) = -9/-15 = 3/5
The y-intercept is (0,-18) as it's where the line intersects the y-axis and x equals 0
Therefore, the equation of the line is y=3/5x-18
