Answer:To find the equation of the line passing through two points, you can use the two-point form1234, which is given by:
y−y1=m(x−x1)
where m is the slope of the line, (x1,y1) and (x2,y2) are the two points through which the line passes, and (x,y) is an arbitrary point on the line.
To find the slope m, you can use the formula:
m=x2−x1y2−y1
In your case, the two points are (0,4) and (8,0), so you can plug them into the formulas and get:
m=8−00−4=−21
y−4=−21(x−0)
Simplifying this equation, you get:
y=−21x+4
This is the equation of the line in slope-intercept form5, where −21 is the slope and 4 is the y-intercept.
Step-by-step explanation:j