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Q. Profile\newlineNew announcement:\newlineDeltaMath Student Ap\newlineByteLearn\newlinescreenshot on chrome\newlineswitch window key on\newlinedeltamath.com/app/student/29536162953616/2314181523141815/11c99a0000cf5757e7979d33e2926522581976529265225819765a66\newlineDeltaMath\newlinelarr Back to Home\newlinereview0101\newlineDue: April 1212 at 88:0000 AM\newlineGrade: \newline2828%\newlineTable to Linear Equation (Level 11)\newlineTable to Linear Equation (Level 22)\newlineTable to Linear Equation (Level 33)\newlineCompare Linear Features Equation vs. Graph or Table\newlineBinomial as GCF (Level 11)\newlineTable to Linear Equation (Level 22)\newlineScore: \newline2/52/5\newlinePenalty: 11 off\newlineQuestion\newlineShow Examples\newlineFind the equation of the linear function represented by the table below in slope-intercept form.\newline\newlinexx\newlineyy\newline\newline11\newline55\newline\newline22\newline77\newline\newline33\newline99\newline\newline1100\newline1111\newline\newlineAnswer Attempt 11 out of 22\newline\newlineSubmit Answer\newlineSubmit Answer\newlineAaditi Bambal\newlineLog Out
  1. Calculate Slope: To find the equation of the linear function in slope-intercept form, which is y=mx+by = mx + b, we first need to determine the slope (mm) of the line. The slope can be calculated by taking the difference in the yy-values divided by the difference in the xx-values between any two points on the table.
  2. Calculate Slope Using Points: Using the first two points (1,5)(1, 5) and (2,7)(2, 7), we can calculate the slope as follows:\newlinem=y2y1x2x1=7521=21=2m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 5}{2 - 1} = \frac{2}{1} = 2.
  3. Find Y-Intercept: Now that we have the slope, we need to find the y-intercept bb. We can use any point from the table and the slope to solve for bb. Let's use the first point 1,51, 5. We plug the values into the slope-intercept form: 5=2(1)+b5 = 2(1) + b.
  4. Solve for Y-Intercept: Solving for bb, we get: b=52(1)=52=3b = 5 - 2(1) = 5 - 2 = 3.
  5. Write Linear Function Equation: Now we have both the slope m=2m = 2 and the y-intercept b=3b = 3, so we can write the equation of the linear function as y=2x+3y = 2x + 3.

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