ProfileNew announcement:DeltaMath Student ApByteLearnscreenshot on chromeswitch window key ondeltamath.com/app/student/2953616/23141815/1c9a00cf57e79d3e29265225819765a6DeltaMathlarr Back to Homereview01Due: April 12 at 8:00 AMGrade: 28%Table to Linear Equation (Level 1)Table to Linear Equation (Level 2)Table to Linear Equation (Level 3)Compare Linear Features Equation vs. Graph or TableBinomial as GCF (Level 1)Table to Linear Equation (Level 2)Score: 2/5Penalty: 1 offQuestionShow ExamplesFind the equation of the linear function represented by the table below in slope-intercept form.xy1527391011Answer Attempt 1 out of 2◻Submit AnswerSubmit AnswerAaditi BambalLog Out
Q. ProfileNew announcement:DeltaMath Student ApByteLearnscreenshot on chromeswitch window key ondeltamath.com/app/student/2953616/23141815/1c9a00cf57e79d3e29265225819765a6DeltaMathlarr Back to Homereview01Due: April 12 at 8:00 AMGrade: 28%Table to Linear Equation (Level 1)Table to Linear Equation (Level 2)Table to Linear Equation (Level 3)Compare Linear Features Equation vs. Graph or TableBinomial as GCF (Level 1)Table to Linear Equation (Level 2)Score: 2/5Penalty: 1 offQuestionShow ExamplesFind the equation of the linear function represented by the table below in slope-intercept form.xy1527391011Answer Attempt 1 out of 2◻Submit AnswerSubmit AnswerAaditi BambalLog Out
Calculate Slope: To find the equation of the linear function in slope-intercept form, which is y=mx+b, we first need to determine the slope (m) of the line. The slope can be calculated by taking the difference in the y-values divided by the difference in the x-values between any two points on the table.
Calculate Slope Using Points: Using the first two points (1,5) and (2,7), we can calculate the slope as follows:m=x2−x1y2−y1=2−17−5=12=2.
Find Y-Intercept: Now that we have the slope, we need to find the y-intercept b. We can use any point from the table and the slope to solve for b. Let's use the first point 1,5. We plug the values into the slope-intercept form: 5=2(1)+b.
Solve for Y-Intercept: Solving for b, we get: b=5−2(1)=5−2=3.
Write Linear Function Equation: Now we have both the slope m=2 and the y-intercept b=3, so we can write the equation of the linear function as y=2x+3.