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Start by using the Slope Formula to find the slope of the line.
y=-40/7x+660/7
An equation in slope-intercept form follows a specific format.
y= mx+b
For an equation in this form, m is the slope and b is the y-intercept. Let's use the given points to calculate m. We will start by substituting the points into the Slope Formula.
Substitute ( 13,20) & ( 6,60)
A slope of - 407 means that for every 7 horizontal steps in the positive direction, we take 40 vertical steps in the negative direction. Now that we know the slope, we can write a partial version of the equation. y= - 407 x+b To complete the equation, we also need to determine the y-intercept, b. Since we know that the given points will satisfy the equation, we can substitute one of them into the equation and solve for b. Let's use ( 6, 60).
x= 6, y= 60
a/c* b = a* b/c
Multiply
LHS * 7=RHS* 7
LHS+240=RHS+240
.LHS /7.=.RHS /7.
Rearrange equation
A y-intercept of 6607 means that the line crosses the y axis at the point (0,6607). We can now complete the equation. y= -40/7x+6607