A line's slope is 5. The line passes through the point (5, 30). Find an equation for this line in both point-slope and slope-intercept form A) An equation for this line in point-slope form is:

B) An equation for this line in slope-intercept form is.​

A)

B)  

Step-by-step explanation:

A) We know the slope and a point the line intersects. This means we have enough information to write the equation in point-slope form, or . Substitute values for the , and .

represents the slope, thus substitute 5 in its place in the equation. and represent the x and y values of a point the line intersects, thus use the x and y values of (5,30). Substitute 5 for and 30 for . This will give the following equation in point-slope form and one of the answers:

B) Now, to find the equation of the line in slope-intercept form, or  format, isolate y in the point-slope form of the equation like below.

Thus, is the slope-intercept form of the equation.

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