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Correct answer gets BRAINLIEST!

Choose the slope-intercept form of the equation of the line through the given points.

Correct Answer Gets BRAINLIEST Choose The Slopeintercept Form Of The Equation Of The Line Through The Given Points class=

Sagot :

Answer:

y = [tex]\frac{3}{2}[/tex]x + [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

The base form of the slope-intercept form is y = mx + b. We need to think of this as a system of linear equations problem, where we are solving for m and x using 2 equations. Substituting the x and y coordinates of the 2 points, we have 5 = m + b and -1 = -3m + b.

Let's now solve the system by elimination. We first subtract to eliminate the variable b and we get 6 = 4m, so m = [tex]\frac{3}{2}[/tex]. Then we substitute [tex]\frac{3}{2}[/tex] for m in any of the equations and we get b = [tex]\frac{7}{2}[/tex]. Thus, the equation of the line that goes through (1, 5) and (-3, -1) is y = [tex]\frac{3}{2}[/tex]x + [tex]\frac{7}{2}[/tex].

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