Respuesta :
Answer
y = (-3/8)x + 3
Multiply through by 8
8y = -3x + 24
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
So, we just need to solve for the slope of this line.
For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]For this question, the x and y intercepts are given. Since these are points where the line crosses the x and y axis, we can write them in coordinates form as
x-intercept = (8, 0)
y-intercept = (0, 3)
(x₁, y₁) and (x₂, y₂) are (8, 0) and (0, 3)
[tex]\text{Slope = }\frac{3-0}{0-8}=\frac{3}{-8}=-\frac{3}{8}[/tex]y = mx + b
m = slope = -(3/8)
b = y-intercept = 3
y = mx + b
y = (-3/8)x + 3
Multiply through by 8
8y = -3x + 24
Hope this Helps!!!
