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Equation From Two Points

This worksheet covers Equation From Two Points, which is part of the Lines Destroyer module in the SAT Math Destroyer Crash Course course. Practice problems are designed to strengthen key concepts and build confidence.

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Linear Equations Word Problems

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Equation From Two Points

Lines Destroyer • SAT Math Destroyer Crash Course

Set 1 — Mastery

Given the points $(2, 3)$ and $(4, 7)$ , what is the equation of the line in slope-intercept form?

A, $y = 2x - 1$

B, $y = 2x + 1$

C, $y = 4x - 5$

D, $y = 2x + 2$

Determine the equation of the line that passes through the points $(1, 2)$ and $(3, 8)$ in standard form.

A, $3x - y = 4$

B, $3x + y = 4$

C, $2x - y = 2$

D, $2x + y = 2$

Find the equation of the line through the points $(0, -5)$ and $(2, -1)$ in slope-intercept form.

A, $y = 2x - 5$

B, $y = 2x - 1$

C, $y = 2x - 3$

D, $y = 2x + 5$

What is the equation of the line passing through the points $(3, 4)$ and $(6, 10)$ in point-slope form?

A, $y - 4 = 2(x - 3)$

B, $y - 10 = 2(x - 6)$

C, $y - 4 = 3(x - 3)$

D, $y - 10 = 3(x - 6)$

Using the points $(5, 1)$ and $(7, 3)$ , find the equation of the line in standard form.

A, $y - 1 = x - 5$

B, $2x - y = 9$

C, $2x - y = 7$

D, $x + y = 6$

For the points $(4, 12)$ and $(10, 18)$ , find the slope-intercept form of the line.

A, $y = x + 8$

B, $y = x + 6$

C, $y = x + 12$

D, $y = 2x - 4$

What is the equation of a line in standard form through the points $(2, 1)$ and $(4, 5)$ ?

A, $2x - y = 3$

B, $4x - 2y = 6$

C, $x - 2y = -1$

D, $x + y = 3$

Find the equation of the line through $(0, 0)$ and $(4, 16)$ in slope-intercept form.

A, $y = 4x$

B, $y = 2x$

C, $y = x^{2}$

D, $y = 3x$

Given the points $(1, 5)$ and $(3, 7)$ , what is the slope of the line?

A, $1$

B, $2$

C, $3$

D, $4$

10.

What is the equation of the line in point-slope form that passes through $(6, 2)$ and has a slope of $3$ ?

A, $y - 2 = 3(x - 6)$

B, $y - 2 = 3(x + 6)$

C, $y + 2 = 3(x - 6)$

D, $y + 2 = 3(x + 6)$

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