Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.

The equation of the line in the slope-point form is y - 7 = 10(x + 6)

The equation of the line in the slope-intercept form is y = 10x + 67

Step-by-step explanation:

The slope-point form of the linear equation is y - y1 = m(x - x1), where

The slope-intercept form of the linear equation is y = m x + b, where

∵ The slope of the line is 10

∴ m = 10

∵ The line passes through the point (-6, 7)

∴ x1 = -6 and y = 7

→ Substitute them in the slope-point form above

∵ y - 7 = 10(x - -6)

∵ (-)(-) = (+)

∴ y - 7 = 10(x + 6)

∴ The equation of the line in the slope-point form is y - 7 = 10(x + 6)

→ Substitute m in the slope-intercept form

∵ y = 10x + b

→ To find b substitute x by -6 and y by 7 in the equation

∵ 7 = 10(-6) + b

∴ 7 = -60 + b

→ Add 60 to both sides to find b

∴ 67 = b

→ Substitute the value of b in the equation

∴ y = 10x + 67

∴ The equation of the line in the slope-intercept form is y = 10x + 67

step-by-step explanation:

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step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph