Home
/
Math
/
Write the Equation of the Line That Passes Through (7,-4) and (-1,-2) in Slope-intercept Form. Y=-(1)/(4)x-(9)/(4) Y=(1)/(4)x-(7)/(4)

Question

Write the equation of the line that passes through (7,-4) and (-1,-2) in slope-intercept form. y=-(1)/(4)x-(9)/(4) y=(1)/(4)x-(7)/(4) y=-(1)/(4)x-(7)/(4) y=-4x-6

Solution

Expert Verified
4.7 (312 Votes)
Lana Elite ยท Tutor for 8 years

Answer

###

Explanation

## Step1: Calculate the Slope### Use the formula for slope with points \( (7, -4) \) and \( (-1, -2) \). This gives \( m = \frac{-2 - (-4)}{-1 - 7} = \frac{2}{-8} = -\frac{1}{4} \).## Step2: Find the Y-intercept### Use the point-slope form \( y - y_1 = m(x - x_1) \) with one of the points, say \( (7, -4) \), and the calculated slope . Substitute to find :