Write an equation for the following, y intercept -5 x intercept 3
Much appreciated
recall the intercept form for a line.
If the x- and y-intercepts are a and b, then
x/a + y/b = 1
so now just plug in your numbers.
Oobleck thank you so much this is twice today
To write the equation of a line given the y-intercept and x-intercept, we need to determine the slope of the line and use the slope-intercept form of an equation.
First, let's find the slope of the line using the given intercepts. The slope is given by:
slope = (y2 - y1) / (x2 - x1)
Using the coordinates of the intercepts:
y1 = -5 (y-intercept)
y2 = 0 (x-intercept)
x1 = 0 (y-intercept)
x2 = 3 (x-intercept)
Substituting these values into the slope formula:
slope = (0 - (-5)) / (3 - 0)
slope = 5 / 3
Now that we have the slope, we can write the equation of the line using the slope-intercept form:
y = mx + b
where:
m = slope
b = y-intercept
Substituting the obtained values:
y = (5/3)x - 5
Therefore, the equation of the line with a y-intercept of -5 and an x-intercept of 3 is y = (5/3)x - 5.