Q:

Find the equation for the linear function that passes through the points (βˆ’5,βˆ’6) and (10,3). Answers must use whole numbers and/or fractions, not decimals.A.Use the line tool below to plot the two points_______B.State the slope between the points as a reduced fraction________C.State the y-intercept of the linear function_______D.State the linear function_________

Accepted Solution

A:
Answer:Slope: [tex]\frac{3}{5}[/tex]Y-intercept: -3Equation: [tex]y=\frac{3}{5} x-3[/tex]Graph is attached.Step-by-step explanation:To find your slope using two points, use the slope formula.[tex]\frac{y2-y1}{x2-x1} \\[/tex]Your y1 is -6, your y2 is 3.Your x1 is -5, your x2 is 10.[tex]\frac{3-(-6)}{10-(-5)} \\\\\frac{9}{15} \\\\\frac{3}{5} \\[/tex]Now that you have your slope, use it and one of your points in point-slope form to find your y-intercept.[tex]y-y1=m(x-x1)\\y-3=\frac{3}{5} (x-10)\\y-3=\frac{3}{5} x-6\\y=\frac{3}{5} x-3[/tex]