is parallel to the x-axis and has an y-intercept of 3
Parallel to the x axis means it runs through the y-axis
y-intercept of 3 means our equation is y = 3
Write an equation in slope-intercept form for the line with slope 4 and y-intercept -7
The standard equation for slope (m) and y-intercept (b) is given as:
y = mx + b
We're given m = 4 and y-intercept = -7, so we have:
y = 4x - 7
Explain the steps you would take to find an equation for the line perpendicular to 4x - 5y = 20 and sharing the same y-intercept
Get this in slope-intercept form by adding 5y to each side:
4x - 5y + 5y = 5y + 20
Cancel the 5y's on the left side and we get:
5y + 20 = 4x
Subtract 20 from each...
A line has a slope of 7 and a y-intercept of -4. What is its equation in slope intercept form
The slope-intercept equation for a line:
y = mx + b where m is the slope
Given m = 7, we have:
y = 7x + b
The y-intercept is found by setting x to 0:
y = 7(0) + b
y = 0 + b
y = b
We're given the...
A $675 stereo receiver loses value at a rate of about $18 per month The equation y = 675 - 18x represents the value of the receiver after x months. Identify and interpret the x- and y-intercepts. Explain how you can use the intercepts to help you graph the equation
y = 675 - 18x
The...
Equation 2y+5x=40. Interprt the intercepts
Y intercept is when X = 0
2y + 5(0) = 40
2y = 40
Divide each side by 2
y = 20
X intercept is when Y = 0
2(0) + 5x = 40
5x = 40
Divide each side by 5
x = 8